The generator matrix

 1  0  0  0  1  1  1  6  1  1  1  1  0  4  6  1  6  6  1  1  1  1  1  6  1  6  6  1  1  1  6  0  4  1
 0  1  0  0  0  1  7  1  6  6  5  5  1  0  1  1  1  1  7  6  6  0  1  2  3  2  1  2  2  6  0  1  2  4
 0  0  1  0  1  1  2  3  3  4  2  3  6  1  3  7  1  7  0  4  5  3  2  1  3  1  4  4  6  1  0  0  1  0
 0  0  0  1  1  0  4  0  4  1  1  5  5  5  1  6  0  7  7  7  2  2  4  4  3  1  3  6  6  7  1  2  0  0
 0  0  0  0  2  0  0  4  4  0  4  0  4  0  4  4  6  2  6  2  6  6  6  2  2  4  2  4  2  4  0  0  0  2
 0  0  0  0  0  4  4  4  4  4  0  4  4  4  0  0  0  0  0  0  4  0  0  0  4  0  4  4  4  4  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+67x^26+264x^27+583x^28+1136x^29+1810x^30+2692x^31+3589x^32+3948x^33+4212x^34+4364x^35+3776x^36+2724x^37+1722x^38+956x^39+490x^40+244x^41+121x^42+44x^43+9x^44+12x^45+4x^46

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 13.4 seconds.