The generator matrix

 1  0  1  1  1  0  1  1  1  1  1  1
 0  1  3  6  5  1  0  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  8  0  0
 0  0  0  8  0  0  0  0  0  8  0  0
 0  0  0  0  8  0  0  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0
 0  0  0  0  0  0  8  0  0  8  0  0
 0  0  0  0  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  0  0  8  8  0  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+44x^4+96x^5+40x^6+384x^7+215x^8+576x^9+1112x^10+5088x^11+17656x^12+5088x^13+1112x^14+576x^15+215x^16+384x^17+40x^18+96x^19+44x^20+1x^24

The gray image is a code over GF(2) with n=96, k=15 and d=16.
This code was found by Heurico 1.16 in 0.154 seconds.