The generator matrix

 1  1  1  1  2  2  2  1  1
 0  2  0 14  6 14  4  4 12
 0  0 12  4  8 12  4 12  8

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

Homogenous weight enumerator: w(x)=1x^0+52x^7+73x^8+284x^9+40x^10+44x^11+14x^12+4x^13

The gray image is a code over GF(2) with n=72, k=9 and d=28.
This code was found by Heurico 1.16 in 0.00115 seconds.