The generator matrix

 1  0  0  0  0  1  1  1  1  1  0  1  1
 0  1  0  0  0  0  1  3  1  3  1  3  0
 0  0  1  0  0  1  0  3  3  4  3  5  1
 0  0  0  1  0  1  0  4  1  5  1  2  7
 0  0  0  0  1  1  3  0  1  6  5  0  6
 0  0  0  0  0  2  2  2  4  6  6  4  0

generates a code of length 13 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+146x^7+735x^8+2442x^9+7155x^10+15258x^11+24829x^12+29842x^13+24939x^14+15286x^15+7188x^16+2398x^17+673x^18+158x^19+15x^20+6x^21+1x^22

The gray image is a code over GF(2) with n=52, k=17 and d=14.
This code was found by Heurico 1.11 in 7.58 seconds.