The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+148x^7+595x^8+1626x^9+5044x^10+13316x^11+24034x^12+13356x^13+5085x^14+1620x^15+554x^16+138x^17+14x^18+4x^19+1x^22

The gray image is a code over GF(2) with n=96, k=16 and d=28.
This code was found by Heurico 1.16 in 3.58 seconds.