The generator matrix

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

generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+42x^4+92x^5+758x^6+2072x^7+6850x^8+13128x^9+6908x^10+1984x^11+786x^12+124x^13+14x^14+8x^15+1x^16

The gray image is a code over GF(2) with n=72, k=15 and d=16.
This code was found by Heurico 1.16 in 0.157 seconds.