The generator matrix

 1  0  1  1  1 12  4  2  1  1
 0  1  1  0 11  1  2  0 10  0
 0  0  2  6  0  2  2  4 10  0
 0  0  0 12 12 12  8  4 12  0

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

Homogenous weight enumerator: w(x)=1x^0+76x^6+184x^7+551x^8+1992x^9+2584x^10+1992x^11+551x^12+184x^13+76x^14+1x^20

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 0.0379 seconds.