The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+211x^8+644x^9+1792x^10+3820x^11+6175x^12+7432x^13+6194x^14+3896x^15+1828x^16+564x^17+172x^18+28x^19+9x^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 1.16 in 3.04 seconds.