The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^7+359x^8+1222x^9+3452x^10+7818x^11+12556x^12+14518x^13+12600x^14+7830x^15+3455x^16+1218x^17+332x^18+78x^19+12x^20+2x^21+1x^24

The gray image is a code over GF(2) with n=52, k=16 and d=14.
This code was found by Heurico 1.16 in 5.57 seconds.