The generator matrix
1 1 1 1 2 1 2 1 1 1
0 2 0 6 2 0 6 14 8 0
0 0 12 0 0 0 4 8 8 12
0 0 0 12 0 12 4 8 0 4
0 0 0 0 4 0 8 12 4 8
0 0 0 0 0 8 8 8 8 0
generates a code of length 10 over Z16 who´s minimum homogenous weight is 5.
Homogenous weight enumerator: w(x)=1x^0+42x^5+105x^6+292x^7+1028x^8+2734x^9+7967x^10+2744x^11+1044x^12+294x^13+87x^14+36x^15+7x^16+2x^17+1x^18
The gray image is a code over GF(2) with n=80, k=14 and d=20.
This code was found by Heurico 1.16 in 3.04 seconds.