The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1
 0 12  0  0  0  0  0  4  8  0  4  4
 0  0 12  0  0  0  4  0  4  4  4  4
 0  0  0 12  0  4  4  4  4  0  0  0
 0  0  0  0 12  4  0  0  4  4  0  8
 0  0  0  0  0  8  0  0  0  8  8  8
 0  0  0  0  0  0  8  0  0  8  8  0
 0  0  0  0  0  0  0  8  8  8  0  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+16x^5+88x^6+176x^7+327x^8+656x^9+936x^10+1200x^11+25968x^12+1200x^13+936x^14+656x^15+327x^16+176x^17+88x^18+16x^19+1x^24

The gray image is a code over GF(2) with n=96, k=15 and d=20.
This code was found by Heurico 1.16 in 0.505 seconds.