The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^6+92x^7+160x^8+304x^9+482x^10+1644x^11+10910x^12+1664x^13+440x^14+308x^15+191x^16+80x^17+46x^18+4x^19+2x^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 0.182 seconds.