Anyways, here goes my attempt. This map preserves the exact amount of majority minority districts and tries to be fair too
https://davesredistricting.org/join/0db31c7b-72a6-45ba-8316-45f74148dd44Zoom on populated areas:
This map should in theory have (based on 2016 at least) 16 Dem districts, 19 Rep districts and 4 swing districts. (2, 22, 32 and 37; 2 in Houston, 1 in Dallas and 1 in Round Rock)
The list of majority minority districts (by CVAP) is:
TX-02: 45% white, 28% Hispanic, 16% Black, 10% Asian (doesn't count)
TX-09: 45% black, 35% hispanic, 16% white (Houston black district 1)
TX-15: 87% Hispanic, 11% white (McAllen Hispanic district)
TX-16: 76% Hispanic, 18% white (El Paso Hispanic district)
TX-18: 47% Black, 27% white, 18% Hispanic (Houston black district 2)
TX-20: 58% Hispanic, 28% white, 12% black (San Antonio Hispanic district 1)
TX-22: 44% white, 20% asian, 18% Hispanic, 16% black (Doesn't count)
TX-23: 52% Hispanic, 42% White (Hispanic West Texas Republican district)
TX-27: 49% Hispanic, 44% White (No idea if this counts or not, but it's titanium R anyways)
TX-28: 76% Hispanic, 21% White (South Texas Hispanic district 1)
TX-29: 53% Hispanic, 26% White, 16% black (Houston Hispanic district)
TX-30: 57% Black, 24% Hispanic, 18% White (Dallas Black district)
TX-33: 39% Hispanic, 34% White, 21% black (Dallas Hispanic district*)
TX-34: 81% Hispanic, 17% White (South Texas Hispanic district 2)
TX-35: 62% Hispanic, 27% White (San Antonio Hispanic district 2)
TX-39: 48% White, 25% Hispanic, 24% Black (doesn't count)
*: The percentage here might be a bit low, but I wanted to avoid a gerrymander into Fort Worth