The generator matrix
1 0 0 1 1 1 6 1 1 1 1 2 1
0 1 0 1 0 1 1 6 1 4 1 4 6
0 0 1 1 1 0 1 3 1 7 3 4 5
0 0 0 2 0 0 0 2 6 2 4 4 6
0 0 0 0 2 0 4 2 0 6 6 4 0
0 0 0 0 0 2 6 4 6 6 0 6 0
generates a code of length 13 over Z8 who´s minimum homogenous weight is 7.
Homogenous weight enumerator: w(x)=1x^0+72x^7+242x^8+790x^9+1426x^10+4660x^11+4484x^12+9402x^13+4446x^14+4736x^15+1469x^16+746x^17+206x^18+68x^19+12x^20+6x^21+2x^22
The gray image is a code over GF(2) with n=52, k=15 and d=14.
This code was found by Heurico 1.16 in 1.59 seconds.