The generator matrix

 1  0  1  1  1  0  2  1  1  2  1  1
 0  1 11 14  5  1  0  0  0  0  0  0
 0  0 12  4  0 12 12  0  0  0  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+60x^4+128x^5+248x^6+512x^7+887x^8+1024x^9+3464x^10+12672x^11+27544x^12+12672x^13+3464x^14+1024x^15+887x^16+512x^17+248x^18+128x^19+60x^20+1x^24

The gray image is a code over GF(2) with n=96, k=16 and d=16.
This code was found by Heurico 1.16 in 0.597 seconds.