The generator matrix
1 1 1 1 1 1 1 1 1 2 2 1 2
0 2 0 0 0 2 6 2 4 4 4 6 2
0 0 2 0 2 2 2 4 6 0 6 2 0
0 0 0 2 2 4 6 2 0 2 6 2 6
0 0 0 0 4 4 4 0 4 4 0 0 4
generates a code of length 13 over Z8 who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+40x^9+66x^10+100x^11+201x^12+224x^13+177x^14+120x^15+53x^16+24x^17+12x^18+4x^19+1x^20+1x^22
The gray image is a code over GF(2) with n=52, k=10 and d=18.
This code was found by Heurico 1.16 in 0.00615 seconds.