The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^6+160x^7+1390x^8+2656x^9+7771x^10+2656x^11+1416x^12+160x^13+69x^14+9x^16+1x^18

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 0.683 seconds.