The generator matrix

 1  0  1  1  1 14  1  1  8
 0  1 11 14  5  1  8  3  2
 0  0 12  4  8 12  4  8  4

generates a code of length 9 over Z16 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+72x^7+249x^8+404x^9+216x^10+64x^11+14x^12+4x^13

The gray image is a code over GF(2) with n=72, k=10 and d=28.
This code was found by Heurico 1.16 in 8.58e-008 seconds.