The generator matrix

 1  1  1  1  2  0  0  1  1  1  1  1
 0  2  0  2  2  2 12  8  4 12  0  0
 0  0  2  2  6 12  2  4  4  0  0  0
 0  0  0  8  0  0  0  8  8  0  0  0
 0  0  0  0  8  0  0  8  8  0  8  0
 0  0  0  0  0  8  0  8  0  8  8  0
 0  0  0  0  0  0  8  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+35x^6+96x^7+114x^8+352x^9+1630x^10+2112x^11+7696x^12+2112x^13+1644x^14+352x^15+117x^16+96x^17+18x^18+8x^20+1x^22

The gray image is a code over GF(2) with n=96, k=14 and d=24.
This code was found by Heurico 1.16 in 0.106 seconds.