The generator matrix

 1  0  1  1  1  4  1  8  1 14  1  1
 0  1  1  0  3  1 11  4 11  1  4  0
 0  0  2  0  2  4  0  2  2  2 10  0
 0  0  0  2  2  6  0  8  6 10 12  0
 0  0  0  0  4  0  4  8  0  4 12  8

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

Homogenous weight enumerator: w(x)=1x^0+74x^7+346x^8+1338x^9+5111x^10+13364x^11+24912x^12+13604x^13+5147x^14+1218x^15+309x^16+98x^17+13x^18+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 2.62 seconds.