The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^7+293x^8+1234x^9+5394x^10+13510x^11+24437x^12+13540x^13+5468x^14+1240x^15+226x^16+74x^17+18x^18+6x^19+3x^20

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 5.64 seconds.