The generator matrix

 1  1  1  1  2  0  1  1  2  1  1  1
 0  2 12  6  6  2  0  6  6  0  0  6
 0  0  8  0  0  0  0  0  0  8  0  8
 0  0  0  8  0  0  0  0  8  8  0  8
 0  0  0  0  8  0  0  0  8  0  0  8
 0  0  0  0  0  8  0  0  8  0  8  8
 0  0  0  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  0  8  8  8  0  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+8x^7+86x^8+136x^9+620x^10+1648x^11+3156x^12+1648x^13+630x^14+136x^15+81x^16+8x^17+12x^18+4x^20+1x^22

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 0.0346 seconds.