The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+132x^27+339x^28+578x^29+900x^30+1302x^31+1775x^32+2038x^33+2156x^34+2142x^35+1802x^36+1394x^37+924x^38+434x^39+232x^40+146x^41+52x^42+22x^43+11x^44+4x^45

The gray image is a code over GF(2) with n=136, k=14 and d=54.
This code was found by Heurico 1.16 in 77.9 seconds.