The generator matrix

 1  0  1  1  1 12  2  1  1  1  1  1
 0  1  1 12 11  1  2 10  2  4  4  0
 0  0  2  6  4  6  2  6  2  2  2  0
 0  0  0  8  0  0  0  0  8  8  0  0
 0  0  0  0  8  0  0  8  8  0  0  0
 0  0  0  0  0  8  0  8  8  0  8  0
 0  0  0  0  0  0  8  8  0  8  8  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+17x^6+100x^7+150x^8+1048x^9+2540x^10+5500x^11+14036x^12+5520x^13+2550x^14+1052x^15+145x^16+88x^17+12x^18+4x^19+4x^20+1x^22

The gray image is a code over GF(2) with n=96, k=15 and d=24.
This code was found by Heurico 1.16 in 0.267 seconds.