The generator matrix

 1  0  0  1  1  1  2  1  1  0  1  6  1  0  1  1  4  0  1  6  2  0  1  1  1  4  1  1  1  4  0  2  1  2
 0  1  0  1  0  3  1  0  7  1  1  1  2  2  5  5  0  1  6  1  1  6  5  5  2  1  1  3  2  2  2  1  2  1
 0  0  1  1  1  0  1  2  0  3  3  4  1  1  3  0  1  4  7  6  3  1  7  4  3  5  6  3  4  1  0  5  0  1
 0  0  0  2  0  6  0  6  4  6  4  6  2  0  6  6  6  6  0  4  0  2  4  4  4  0  4  0  2  6  2  0  0  0
 0  0  0  0  2  0  0  4  6  2  6  6  2  2  2  6  6  0  4  6  2  6  4  2  6  4  4  4  6  0  4  6  6  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  0  4  4  4  4  0  4  0  0  0  4  4
 0  0  0  0  0  0  4  0  0  0  4  0  0  4  4  0  4  0  0  0  4  0  0  4  4  0  4  4  4  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+163x^26+180x^27+801x^28+996x^29+1830x^30+2596x^31+3246x^32+4284x^33+4234x^34+4548x^35+3429x^36+2748x^37+1765x^38+860x^39+685x^40+164x^41+197x^42+8x^43+30x^44+1x^46+1x^50+1x^58

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 14.8 seconds.