The generator matrix

 1  0  0  0  1  1  1  6  1  1  1  1  1
 0  1  0  0  0  5  7  1  2  2  7  3  0
 0  0  1  0  1  1  2  3  3  4  5  7  0
 0  0  0  1  1  2  3  3  1  7  3  3  0
 0  0  0  0  4  0  0  0  0  4  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+50x^8+260x^9+504x^10+908x^11+1699x^12+1240x^13+1864x^14+936x^15+424x^16+228x^17+64x^18+12x^19+1x^20+1x^24

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 0.141 seconds.