The generator matrix

 1  1  1  1  1  1  1  1  2  1
 0 12  0  0  0  4 12 12  8  0
 0  0 12  0  4  4  4  0  8  0
 0  0  0 12  4  8  4  4  0  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+57x^6+56x^7+28x^8+72x^9+1599x^10+72x^11+84x^12+56x^13+7x^14+15x^16+1x^18

The gray image is a code over GF(2) with n=80, k=11 and d=24.
This code was found by Heurico 1.16 in 0.00439 seconds.