The generator matrix

 1  0  1  1  1  1  1 10  4
 0  1  1  0 15 11 14  1  1
 0  0  2  6  2  4  8  6  0
 0  0  0 12 12  8 12  0 12

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

Homogenous weight enumerator: w(x)=1x^0+114x^6+400x^7+1877x^8+3424x^9+1856x^10+400x^11+114x^12+6x^14

The gray image is a code over GF(2) with n=72, k=13 and d=24.
This code was found by Heurico 1.16 in 5.42 seconds.