The generator matrix

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

generates a code of length 9 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+28x^5+88x^6+496x^7+1310x^8+4328x^9+1344x^10+496x^11+64x^12+28x^13+8x^14+1x^16

The gray image is a code over GF(2) with n=72, k=13 and d=20.
This code was found by Heurico 1.16 in 0.0164 seconds.