The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  1
 0 12  0  0  0  4 12  4  8  8  0  0
 0  0 12  0  4  4 12  0  0  8  8  0
 0  0  0 12  4  0 12  4  4 12  4  0
 0  0  0  0  8  0  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  0  8  8  0
 0  0  0  0  0  0  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+39x^6+68x^7+87x^8+276x^9+219x^10+680x^11+5457x^12+680x^13+213x^14+276x^15+84x^16+68x^17+41x^18+3x^20

The gray image is a code over GF(2) with n=96, k=13 and d=24.
This code was found by Heurico 1.16 in 0.0339 seconds.