1) the claim that the offender bore a specific animus against "black" people
2) that he committed the murder with that animus as the motivation. For example, if he lost a cash game of pool in a bar and then murdered the man shortly afterwards, his defense counsel could (and likely would) defeat an attempt at obtaining an HCE by arguing that the murder was motivated by frustration at the loss. It would still be murder, but it would be very difficult to carry the HCE.
Now...do you have any interest in addressing the ACTUAL basis of HCE's, or do you intend to go on pretending it to be something it's not?