The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+382x^28+576x^29+1140x^30+1320x^31+1944x^32+1684x^33+2274x^34+1732x^35+2040x^36+1320x^37+1040x^38+464x^39+327x^40+68x^41+58x^42+4x^43+9x^44+1x^52

The gray image is a code over GF(2) with n=136, k=14 and d=56.
This code was found by Heurico 1.16 in 36.2 seconds.