The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^28+120x^29+363x^30+380x^31+528x^32+446x^33+491x^34+390x^35+507x^36+300x^37+283x^38+120x^39+71x^40+22x^41+13x^42+6x^43+7x^44+8x^45+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 0.253 seconds.