The generator matrix

 1  0  1  1  1  6  1  1  1
 0  1  3  6  5  1 12  6  0
 0  0  8  0  8  0  0  8  0
 0  0  0  8  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+14x^6+64x^7+242x^8+384x^9+240x^10+64x^11+12x^12+2x^14+1x^16

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 0.00134 seconds.