I have found the issue:

<StarbaseModule>
<InternalName>PromethionExtractorModule</InternalName>
<DisplayName>PromethionExtractorModule_Name</DisplayName>
<Description>PromethionExtractorModule_Dec</Description>
<Icon>GC3_Icon_Promethion_32.png</Icon>
<SpecializationType>Mining</SpecializationType>
<RequiredTarget>StrategicResource</RequiredTarget>

<!-- Stats -->

<Stats>
<EffectType>ModuleConstructionPoints</EffectType>
<Scope>Queue</Scope>
<Target>
<TargetType>StarbaseModule</TargetType>
</Target>
<BonusType>Flat</BonusType>
<Value>1</Value>
</Stats>

<Stats>
<EffectType>Mining</EffectType>
<Scope>AreaEffect</Scope>
<Target>
<TargetType>StrategicResource</TargetType>
<StrategicResourceType>Antimatter</StrategicResourceType>
</Target>
<BonusType>Flat</BonusType>
<Value>5</Value>
</Stats>

<Prerequ>
<Techs>
<Option>LosslessMining</Option>
</Techs>
<StarbaseModule>ResourceSectorModule</StarbaseModule>
</Prerequ>
<Preclusions>
<StarbaseModule>ThuliumExtractorModule</StarbaseModule>
<StarbaseModule>AntiMatterExtractorModule</StarbaseModule>
<StarbaseModule>DurantiumExtractorModule</StarbaseModule>
<StarbaseModule>EleriumExtractorModule</StarbaseModule>
</Preclusions>

</StarbaseModule>

The bolded part should be Promethion, not Antimatter.

The Thulium Extractor has the same bug.

<StarbaseModule>
<InternalName>ThuliumExtractorModule</InternalName>
<DisplayName>ThuliumExtractorModule_Name</DisplayName>
<Description>ThuliumExtractorModule_Dec</Description>
<Icon>GC3_Icon_Thulium_32.png</Icon>
<SpecializationType>Mining</SpecializationType>
<RequiredTarget>StrategicResource</RequiredTarget>

<!-- Stats -->

<Stats>
<EffectType>ModuleConstructionPoints</EffectType>
<Scope>Queue</Scope>
<Target>
<TargetType>StarbaseModule</TargetType>
</Target>
<BonusType>Flat</BonusType>
<Value>1</Value>
</Stats>

<Stats>
<EffectType>Mining</EffectType>
<Scope>AreaEffect</Scope>
<Target>
<TargetType>StrategicResource</TargetType>
<StrategicResourceType>Antimatter</StrategicResourceType>
</Target>
<BonusType>Flat</BonusType>
<Value>5</Value>
</Stats>

<Prerequ>
<Techs>
<Option>LosslessMining</Option>
</Techs>
<StarbaseModule>ResourceSectorModule</StarbaseModule>
</Prerequ>
<Preclusions>
<StarbaseModule>PromethionExtractorModule</StarbaseModule>
<StarbaseModule>AntiMatterExtractorModule</StarbaseModule>
<StarbaseModule>DurantiumExtractorModule</StarbaseModule>
<StarbaseModule>EleriumExtractorModule</StarbaseModule>
</Preclusions>

</StarbaseModule>

PS: Could you move this thread to Support, please? The Devs are more likely to see it there.