The generator matrix

 1  0  0  1  1  1  1  1  1
 0  1  0  1  6  7 10  2  4
 0  0  1  1  3  2  6  2  2
 0  0  0  8  0  0  8  8  0
 0  0  0  0  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+26x^5+152x^6+1082x^7+3038x^8+7764x^9+3072x^10+1092x^11+128x^12+18x^13+8x^14+2x^15+1x^16

The gray image is a code over GF(2) with n=72, k=14 and d=20.
This code was found by Heurico 1.16 in 0.0585 seconds.