The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+198x^28+240x^29+632x^30+520x^31+1093x^32+800x^33+1292x^34+704x^35+1148x^36+608x^37+532x^38+184x^39+168x^40+16x^41+36x^42+14x^44+4x^46+2x^48

The gray image is a code over GF(2) with n=136, k=13 and d=56.
This code was found by Heurico 1.16 in 1.02 seconds.