The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+69x^8+390x^9+908x^10+1760x^11+3360x^12+3332x^13+3421x^14+1880x^15+856x^16+294x^17+86x^18+24x^19+2x^20+1x^22

The gray image is a code over GF(2) with n=52, k=14 and d=16.
This code was found by Heurico 1.16 in 0.653 seconds.