The generator matrix
1 1 1 1 1 1 1 2 1 1 1 1
0 2 0 0 0 2 6 14 10 4 2 0
0 0 2 0 2 2 2 2 4 10 6 0
0 0 0 2 2 4 6 6 6 4 12 8
0 0 0 0 4 4 4 8 12 12 8 8
generates a code of length 12 over Z16 who´s minimum homogenous weight is 7.
Homogenous weight enumerator: w(x)=1x^0+64x^7+345x^8+744x^9+1866x^10+5282x^11+16062x^12+5448x^13+1865x^14+684x^15+328x^16+64x^17+12x^18+2x^19+1x^22
The gray image is a code over GF(2) with n=96, k=15 and d=28.
This code was found by Heurico 1.16 in 1.04 seconds.