The generator matrix

 1  0  1  1  1  6  1  1  1  1
 0  1 11  6  5  1  0  8  6  8
 0  0 12  0  0  4  4 12  8  8
 0  0  0 12  0  4  4  8  0 12
 0  0  0  0  8  0  8  0  0  8
 0  0  0  0  0  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+129x^6+64x^7+1064x^8+3264x^9+7327x^10+3264x^11+1100x^12+64x^13+95x^14+11x^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 0.83 seconds.