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.