The generator matrix

 1  0  1  1  1 14  1  1  1  1  2  1
 0  1 11  6  1  1  0  3  8 11 14 14
 0  0 12  0  0  0  4  4  4  8  0  4
 0  0  0 12  0  0  4  8  4  4  8  0
 0  0  0  0  4  4  8  4 12  8 12  0
 0  0  0  0  0  8  0  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+72x^7+201x^8+558x^9+2110x^10+8062x^11+10717x^12+8092x^13+2164x^14+564x^15+150x^16+54x^17+14x^18+6x^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 67.1 seconds.