The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  2  4  1  1  2  2  1  6  1  1  1  1  0  0  1  1  6  1  6  6  0  1  4
 0  1  0  1  2  3  1  1  0  7  6  0  1  7  2  2  1  1  1  3  2  4  1  2  0  6  3  1  2  1  6  1  1  2
 0  0  1  1  1  0  3  2  2  2  1  1  3  3  3  1  1  1  0  3  4  3  2  1  1  6  1  1  0  7  1  0  6  6
 0  0  0  2  0  6  2  2  6  4  2  6  6  2  6  0  0  0  0  4  6  6  4  6  6  4  0  2  2  4  0  6  4  6
 0  0  0  0  4  0  0  0  4  4  0  0  4  0  4  0  4  0  4  4  0  0  0  4  4  4  0  4  0  4  0  0  4  4
 0  0  0  0  0  4  0  0  0  0  4  0  4  4  4  4  4  0  4  4  4  0  4  0  0  4  4  0  0  4  0  0  4  4
 0  0  0  0  0  0  4  0  4  0  0  0  4  4  4  4  4  4  0  0  0  4  4  0  0  4  0  4  0  0  0  0  0  4
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  4  4  0  0  4  4  0  4  4  0  0  4  4  4  0  4  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+173x^26+176x^27+775x^28+924x^29+1920x^30+2316x^31+4002x^32+3708x^33+4608x^34+3820x^35+4224x^36+2356x^37+1814x^38+836x^39+692x^40+180x^41+179x^42+20x^43+33x^44+10x^46+1x^48

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 24.8 seconds.