The generator matrix

 1  0  1  1  1 12  2  1  1  2  1  1
 0  1  1 12 11  1  2 10  6  4  0  0
 0  0  2  6  4  6  2 14  0  2  0  0
 0  0  0  8  0  0  0  0  0  8  0  8
 0  0  0  0  8  0  0  0  8  8  0  8
 0  0  0  0  0  8  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  0  0  8
 0  0  0  0  0  0  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+37x^6+96x^7+366x^8+1312x^9+6232x^10+10880x^11+27684x^12+10880x^13+6242x^14+1312x^15+361x^16+96x^17+32x^18+4x^20+1x^22

The gray image is a code over GF(2) with n=96, k=16 and d=24.
This code was found by Heurico 1.16 in 1.01 seconds.