The generator matrix

 1  1  1  1  2  2  1  1  1  1  1  1
 0  2 12  6  6  6  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+32x^5+40x^6+128x^7+215x^8+192x^9+1112x^10+1696x^11+9464x^12+1696x^13+1112x^14+192x^15+215x^16+128x^17+40x^18+32x^19+44x^20+1x^24

The gray image is a code over GF(2) with n=96, k=14 and d=16.
This code was found by Heurico 1.16 in 0.0664 seconds.