The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  0  4  2  0  4  4  1  2  1  1
 0  2  0  0  0  0  0  0  0  2  2  6  2  4  4  0  6  2  2  0  4  4  6  4  4  2  2  2  2  2  6  6  0  0
 0  0  2  0  0  0  2  6  2  4  2  2  0  0  6  0  6  2  4  2  6  6  0  2  2  0  6  4  4  0  6  6  4  2
 0  0  0  2  0  2  2  2  4  4  4  4  6  2  6  4  4  2  0  4  0  2  4  6  2  4  2  6  0  2  2  4  0  2
 0  0  0  0  2  2  0  2  6  2  0  2  4  4  0  2  4  6  2  6  4  2  4  0  6  6  2  6  2  4  2  6  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  0  4  0  4  4  4
 0  0  0  0  0  0  4  4  0  0  0  0  0  4  0  4  4  4  0  0  0  4  4  0  0  4  0  4  0  4  0  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+124x^26+398x^28+44x^29+655x^30+256x^31+1131x^32+716x^33+1522x^34+736x^35+1183x^36+260x^37+648x^38+32x^39+322x^40+4x^41+114x^42+34x^44+9x^46+2x^48+1x^52

The gray image is a code over GF(2) with n=136, k=13 and d=52.
This code was found by Heurico 1.16 in 1.73 seconds.