I've done some further research and found out some more interesting details. Teque Software was the original old name of Krisalis Software, which most of you have no doubt heard of. And an interesting fact is that while Krisalis is still going, their building is still called Teque house.

This still didn't bring me any closer to the credits for Chase HQ though. Although I do now know that the three key coders at Teque when it was first formed were Tony Kavanagh, Peter Harrap and Shaun Hollingworth.