The generator matrix

 1  1  1  1  1  2  1  0  2  0  2  1  1
 0  2  0  6  0  2  6  2  6  2  6  0  0
 0  0  4  0  0  0  0  0  0  0  4  4  4
 0  0  0  4  0  0  0  0  0  4  4  0  4
 0  0  0  0  4  0  0  0  4  4  0  4  0
 0  0  0  0  0  4  0  0  4  0  0  4  4
 0  0  0  0  0  0  4  0  4  0  4  0  4
 0  0  0  0  0  0  0  4  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+71x^8+176x^10+128x^11+544x^12+256x^13+448x^14+128x^15+263x^16+16x^18+16x^20+1x^24

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 0.015 seconds.