The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  2  1  1  1  1  2  2  2  2  1  2  4  4  0  0
 0  4  0  4  0  0  4  4  0  0  4  4  0  4  4  0  0  0  4  4  0  0  4  4  4  4
 0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  0  0  4  4  0  4  0  4  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+24x^26+2x^28+4x^30+1x^32

The gray image is a code over GF(2) with n=104, k=5 and d=52.
This code was found by Heurico 1.16 in 0.00383 seconds.