The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^28+412x^29+526x^30+834x^31+712x^32+1064x^33+949x^34+1112x^35+788x^36+800x^37+392x^38+306x^39+113x^40+72x^41+21x^42+4x^43+4x^44+4x^45

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 0.885 seconds.