The generator matrix

 1  0  1  1  1  6 12 14  2  1
 0  1 11 14  5  1  1  1  8  0
 0  0 12  4  0  0  8  4  4  0
 0  0  0  8  0  8  0  0  8  0
 0  0  0  0  8  8  8  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+21x^6+100x^7+240x^8+1040x^9+1271x^10+1080x^11+236x^12+80x^13+19x^14+4x^15+3x^16+1x^18

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 0.0085 seconds.