The generator matrix

 1  1  1  1  2  8  8  1  1
 0  2  0  2 10  2  4  6  0
 0  0  2  2  6  4  2  0  8
 0  0  0  8  0  0  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+39x^6+184x^7+345x^8+920x^9+342x^10+168x^11+38x^12+8x^13+3x^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 0.00416 seconds.