The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+167x^28+300x^29+650x^30+500x^31+897x^32+984x^33+1196x^34+988x^35+992x^36+572x^37+476x^38+204x^39+166x^40+32x^41+44x^42+4x^43+17x^44+2x^46

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 1.04 seconds.