The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^26+264x^27+570x^28+1092x^29+1741x^30+2534x^31+3541x^32+4394x^33+4422x^34+4126x^35+3546x^36+2658x^37+1794x^38+1042x^39+522x^40+238x^41+114x^42+34x^43+12x^44+2x^45+1x^62

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 15 seconds.