The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^8+112x^9+493x^10+896x^11+1480x^12+2080x^13+1480x^14+896x^15+493x^16+112x^17+74x^18+1x^26

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.