The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  4  0  0  0  0  0  4  0  0  0  4  4  0  4  4  0  4  0  4  0  4  0  4  4  4  0  0  4
 0  0  4  0  0  0  0  4  0  0  4  4  0  4  4  0  4  4  4  4  4  4  0  0  4  4  4  4  0
 0  0  0  4  0  0  0  4  4  4  4  0  0  4  0  4  4  0  4  4  0  4  4  4  0  4  0  0  4
 0  0  0  0  4  0  4  0  4  4  0  0  0  4  4  4  0  0  4  0  4  4  0  0  4  4  4  0  0
 0  0  0  0  0  4  4  0  0  4  0  4  4  4  4  0  4  0  0  4  0  0  4  4  0  4  4  4  0

generates a code of length 29 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+7x^26+24x^28+192x^29+24x^30+7x^32+1x^58

The gray image is a code over GF(2) with n=116, k=8 and d=52.
This code was found by Heurico 1.16 in 0.00653 seconds.