The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1
 0 12  0  0  0  0  0  4  4 12  8  8
 0  0 12  0  0  0  4  0  4  4  8  0
 0  0  0 12  0  4  4  4  0  4 12  0
 0  0  0  0 12  4  0  8  0  8  0  4
 0  0  0  0  0  8  0  0  8  8  8  0
 0  0  0  0  0  0  8  8  8  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+61x^6+80x^7+178x^8+272x^9+488x^10+1696x^11+10848x^12+1696x^13+442x^14+272x^15+229x^16+80x^17+32x^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 0.158 seconds.