The generator matrix

 1  1  1  1  1  1  1  1  1  1
 0  2  0  2  8 12 10  6  8  8
 0  0  2  2  0  2  6  4 12  8
 0  0  0  4  4 12  8  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+16x^6+128x^7+135x^8+512x^9+2512x^10+512x^11+135x^12+128x^13+16x^14+1x^20

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 0.0144 seconds.