The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+50x^26+58x^27+216x^28+176x^29+593x^30+320x^31+1337x^32+472x^33+1765x^34+476x^35+1324x^36+320x^37+614x^38+160x^39+180x^40+56x^41+40x^42+10x^43+12x^44+9x^46+2x^48+1x^50

The gray image is a code over GF(2) with n=136, k=13 and d=52.
This code was found by Heurico 1.16 in 1.17 seconds.