The generator matrix

 1  0  1  1  1 14  1  1  1
 0  1 11  6  5  1 13  3  6
 0  0 12  0  0  8  4 12  0
 0  0  0 12  0 12  8 12  8
 0  0  0  0  8  0  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+22x^5+62x^6+410x^7+1982x^8+3228x^9+1996x^10+420x^11+48x^12+14x^13+6x^14+2x^15+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 0.0202 seconds.