The generator matrix

 1  0  0  1  1  1  2  6  4  6  1  1  1  1  1  1  0  1  2  1  2  1  1  1  0  1  1  2  1
 0  1  0  0  1  1  1  2  1  1  3  2  7  6  2  2  6  4  1  7  1  4  0  7  1  3  0  1  1
 0  0  1  1  4  5  1  1  1  0  4  5  3  0  7  2  1  2  6  3  3  7  5  1  1  2  6  5  3
 0  0  0  4  0  4  4  4  0  4  4  0  0  0  0  4  4  0  4  4  0  4  0  0  4  0  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+209x^26+52x^27+311x^28+40x^29+184x^30+24x^31+113x^32+8x^33+53x^34+4x^35+23x^36+2x^38

The gray image is a code over GF(2) with n=116, k=10 and d=52.
This code was found by Heurico 1.11 in 0.11 seconds.