The generator matrix

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

generates a code of length 13 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+68x^8+178x^9+515x^10+894x^11+1448x^12+1940x^13+1501x^14+924x^15+495x^16+154x^17+61x^18+6x^19+4x^20+3x^22

The gray image is a code over GF(2) with n=52, k=13 and d=16.
This code was found by Heurico 1.16 in 0.162 seconds.