The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+147x^26+32x^27+612x^28+244x^29+1312x^30+612x^31+2445x^32+1164x^33+3231x^34+1148x^35+2495x^36+620x^37+1321x^38+252x^39+565x^40+20x^41+130x^42+4x^43+25x^44+3x^46+1x^64

The gray image is a code over GF(2) with n=136, k=14 and d=52.
This code was found by Heurico 1.16 in 4.68 seconds.