The generator matrix
1 0 0 1 1 1 2 4 1 1 1 1 0
0 1 0 1 2 7 1 0 6 7 1 0 2
0 0 1 1 1 0 1 1 2 1 3 2 1
0 0 0 2 0 6 4 6 2 0 2 6 6
0 0 0 0 4 4 4 0 0 0 4 4 4
generates a code of length 13 over Z8 who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+126x^9+136x^10+714x^11+366x^12+1388x^13+416x^14+724x^15+79x^16+118x^17+24x^18+2x^19+2x^20
The gray image is a code over GF(2) with n=52, k=12 and d=18.
This code was found by Heurico 1.16 in 1.64 seconds.