The generator matrix

 1  0  1  1  1 12  2  1  1
 0  1  1 12 11  1  2 10  0
 0  0  2  6  4  6  2 14  0

generates a code of length 9 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+50x^6+150x^7+371x^8+926x^9+350x^10+130x^11+60x^12+10x^13

The gray image is a code over GF(2) with n=72, k=11 and d=24.
This code was found by Heurico 1.16 in 0.015 seconds.