The generator matrix
1 1 1 1 1 1 1 1 1 2 0 1 1
0 2 0 0 0 2 6 2 0 2 4 6 0
0 0 2 0 2 2 2 4 0 2 2 4 2
0 0 0 2 2 0 2 6 4 4 0 0 2
0 0 0 0 4 0 0 0 0 4 4 4 0
0 0 0 0 0 4 4 0 4 4 4 4 0
generates a code of length 13 over Z8 who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+37x^8+52x^9+82x^10+196x^11+383x^12+536x^13+406x^14+184x^15+86x^16+52x^17+22x^18+4x^19+5x^20+2x^22
The gray image is a code over GF(2) with n=52, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0148 seconds.