The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  2  1  1  1  1  0  4  1  0  2  1  2
 0  2  0  2  0  0  2  6  0  4  2  6  0  6  4  6  4  2  2  6  0  6  4  6  0  0  4  2  2  6  0  0  4  0
 0  0  2  2  0  6  2  0  4  2  2  0  4  6  2  0  6  2  6  0  4  2  2  6  2  0  2  4  2  2  2  6  0  4
 0  0  0  4  0  0  0  4  4  4  0  0  4  4  0  4  4  4  4  0  0  4  4  4  4  0  0  0  0  0  4  0  4  0
 0  0  0  0  4  0  0  0  0  0  4  0  4  4  4  4  4  0  4  4  4  0  0  4  4  0  4  4  4  0  4  4  4  4
 0  0  0  0  0  4  0  0  0  4  4  4  4  0  0  4  4  4  0  0  4  0  4  0  0  4  4  0  4  4  4  4  0  0
 0  0  0  0  0  0  4  4  4  4  4  0  4  0  0  4  4  0  0  4  4  4  0  4  0  4  0  0  4  0  0  0  0  0

generates a code of length 34 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+107x^28+8x^29+175x^30+136x^31+158x^32+368x^33+180x^34+368x^35+165x^36+136x^37+110x^38+8x^39+72x^40+44x^42+7x^44+3x^46+1x^48+1x^52

The gray image is a code over GF(2) with n=136, k=11 and d=56.
This code was found by Heurico 1.16 in 0.124 seconds.