The generator matrix

 1  0  1  1  1  4  2  1  1  1  1  1
 0  1  1  0 11  1 10  7 10  5  4  2
 0  0  2  6  4  6  2  2  6  4  6  2
 0  0  0 12  0  4  4  8  0 12 12  8
 0  0  0  0  8  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  8

generates a code of length 12 over Z16 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+44x^7+133x^8+494x^9+3242x^10+5858x^11+13205x^12+5868x^13+3276x^14+496x^15+98x^16+38x^17+10x^18+2x^19+3x^20

The gray image is a code over GF(2) with n=96, k=15 and d=28.
This code was found by Heurico 1.16 in 0.615 seconds.