The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^28+88x^29+362x^30+248x^31+584x^32+416x^33+604x^34+464x^35+491x^36+248x^37+244x^38+56x^39+131x^40+16x^41+36x^42+14x^44+2x^46

The gray image is a code over GF(2) with n=136, k=12 and d=56.
This code was found by Heurico 1.16 in 0.311 seconds.