The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+17x^6+84x^7+239x^8+352x^9+236x^10+68x^11+16x^12+8x^13+3x^14

The gray image is a code over GF(2) with n=72, k=10 and d=24.
This code was found by Heurico 1.16 in 0.00169 seconds.