The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+468x^8+1232x^9+3472x^10+8168x^11+11258x^12+16064x^13+11696x^14+8112x^15+3419x^16+1200x^17+384x^18+40x^19+22x^20

The gray image is a code over GF(2) with n=52, k=16 and d=16.
This code was found by Heurico 1.16 in 20 seconds.