The generator matrix

 1  1  1  1  2  8  1  1  2
 0  2  0  6  6  2 12 10 14
 0  0 12  0  8  0  4  4  4
 0  0  0 12  8 12  4 12  0

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

Homogenous weight enumerator: w(x)=1x^0+58x^6+104x^7+521x^8+688x^9+508x^10+104x^11+62x^12+2x^14

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 0.00449 seconds.