The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+51x^28+172x^29+320x^30+234x^31+589x^32+364x^33+685x^34+386x^35+544x^36+254x^37+289x^38+72x^39+58x^40+40x^41+15x^42+10x^43+5x^44+2x^45+3x^46+2x^47

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 0.337 seconds.