The generator matrix
1 1 1 1 1 1 1 1 2 2 2
0 2 0 0 4 14 10 10 4 4 0
0 0 2 0 6 14 14 4 0 4 4
0 0 0 2 2 12 14 2 2 6 2
0 0 0 0 8 0 0 8 0 8 0
0 0 0 0 0 8 0 8 0 0 8
0 0 0 0 0 0 8 8 8 8 0
generates a code of length 11 over Z16 who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+180x^6+256x^7+2386x^8+3328x^9+13820x^10+25600x^11+13816x^12+3328x^13+2380x^14+256x^15+181x^16+4x^18
The gray image is a code over GF(2) with n=88, k=16 and d=24.
This code was found by Heurico 1.16 in 1.53 seconds.