The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+28x^6+80x^7+275x^8+944x^9+1445x^10+944x^11+266x^12+80x^13+30x^14+2x^16+1x^18

The gray image is a code over GF(2) with n=80, k=12 and d=24.
This code was found by Heurico 1.16 in 0.0133 seconds.