The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^26+148x^27+302x^28+636x^29+779x^30+1418x^31+1474x^32+2354x^33+1966x^34+2466x^35+1534x^36+1482x^37+734x^38+558x^39+258x^40+134x^41+55x^42+18x^43+10x^44+2x^45+7x^46+3x^48+2x^52

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 3.75 seconds.