The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+191x^8+662x^9+1816x^10+3838x^11+6143x^12+7340x^13+6290x^14+3948x^15+1728x^16+574x^17+212x^18+22x^19+1x^20+2x^22

The gray image is a code over GF(2) with n=52, k=15 and d=16.
This code was found by Heurico 1.11 in 1.05 seconds.