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.