The generator matrix

 1  1  1  1  1  1  1  1  1  2  0  1  1
 0  2  0  0  0  2  6  2  0  2  4  6  0
 0  0  2  0  2  2  2  4  0  2  2  4  2
 0  0  0  2  2  0  2  6  4  4  0  0  2
 0  0  0  0  4  0  0  0  0  4  4  4  0
 0  0  0  0  0  4  4  0  4  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+37x^8+52x^9+82x^10+196x^11+383x^12+536x^13+406x^14+184x^15+86x^16+52x^17+22x^18+4x^19+5x^20+2x^22

The gray image is a code over GF(2) with n=52, k=11 and d=16.
This code was found by Heurico 1.16 in 0.0148 seconds.