The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+105x^26+268x^27+784x^28+1174x^29+1765x^30+2394x^31+3753x^32+3844x^33+4486x^34+3850x^35+3931x^36+2504x^37+1782x^38+990x^39+662x^40+284x^41+113x^42+50x^43+20x^44+2x^45+5x^46+1x^52

The gray image is a code over GF(2) with n=136, k=15 and d=52.
This code was found by Heurico 1.16 in 13.2 seconds.