The generator matrix

 1  0  1  1  1 12  2  1  1  1
 0  1  1 12 11  1  2 12  6  0
 0  0  2  6  4  6  2  0  0  8
 0  0  0  8  0  0  8  0  8  0
 0  0  0  0  8  8  0  8  8  0

generates a code of length 10 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+38x^6+80x^7+716x^8+1328x^9+3868x^10+1328x^11+716x^12+80x^13+30x^14+7x^16

The gray image is a code over GF(2) with n=80, k=13 and d=24.
This code was found by Heurico 1.16 in 0.0395 seconds.