The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^8+128x^9+486x^10+872x^11+1476x^12+2112x^13+1510x^14+848x^15+497x^16+128x^17+50x^18+8x^19+4x^20+2x^22

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 0.129 seconds.