The generator matrix

 1  0  0  1  1  1  1  8  1  1
 0  1  0  1  6  7 10  1  4  0
 0  0  1  1  3  2  2  3  6  0
 0  0  0 12  0  8  4 12  4  8

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

Homogenous weight enumerator: w(x)=1x^0+36x^6+224x^7+1008x^8+3488x^9+6880x^10+3488x^11+988x^12+224x^13+44x^14+3x^16

The gray image is a code over GF(2) with n=80, k=14 and d=24.
This code was found by Heurico 1.16 in 0.187 seconds.