The generator matrix

 1  0  0  0  1  1  1  0  1  6  1  6  1  1  6  2  6  0  4  1  1  6  1  2  2  1  4  1  1  1  0  2  0  1
 0  1  0  0  0  1  1  1  7  1  7  1  2  2  0  2  1  6  1  3  4  1  3  6  1  0  1  2  1  6  0  1  1  4
 0  0  1  0  1  1  0  1  1  2  6  3  7  0  1  1  0  6  0  6  5  7  1  1  1  5  2  6  5  1  6  2  3  0
 0  0  0  1  1  0  1  1  3  1  4  4  4  3  5  2  2  1  7  7  1  1  4  1  6  6  2  1  2  4  1  7  1  4
 0  0  0  0  2  0  0  0  0  0  4  4  2  6  2  2  6  2  2  2  4  2  2  0  4  2  2  4  0  0  6  2  4  2
 0  0  0  0  0  4  0  4  0  0  0  0  0  4  0  4  0  4  4  0  4  0  4  4  0  4  0  4  4  0  4  0  4  4
 0  0  0  0  0  0  4  4  4  0  4  0  0  4  4  0  4  0  0  0  4  0  0  0  4  0  0  4  4  0  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+247x^26+480x^27+1308x^28+2128x^29+3487x^30+5260x^31+6716x^32+8416x^33+9049x^34+8604x^35+7082x^36+5424x^37+3492x^38+1988x^39+1088x^40+416x^41+223x^42+52x^43+58x^44+13x^46+3x^48+1x^50

The gray image is a code over GF(2) with n=136, k=16 and d=52.
This code was found by Heurico 1.16 in 51.7 seconds.