The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  2  0  4  1  1  1  1  4  1  1  1  2  2  4  1
 0  2  0  0  0  2  6  2  0  0  4  2  4  2  6  2  2  4  2  2  4  2  6  2  2  6  2  0  0  0  0  6  4  0
 0  0  2  0  2  2  6  0  0  4  2  2  2  6  4  0  0  4  6  2  4  4  6  4  2  2  0  0  4  2  6  2  2  2
 0  0  0  2  2  0  6  2  4  2  2  0  4  6  0  2  6  6  0  4  2  6  2  6  2  6  2  2  6  6  4  4  2  4
 0  0  0  0  4  0  0  0  0  0  0  4  4  4  0  4  0  4  4  0  4  0  0  4  4  0  4  0  4  4  0  0  4  4
 0  0  0  0  0  4  0  4  4  0  4  4  0  4  4  4  0  4  4  0  0  0  4  0  0  4  0  4  0  0  4  4  0  4
 0  0  0  0  0  0  4  4  0  4  4  4  0  4  4  0  4  4  0  4  0  0  0  0  0  4  4  0  0  4  4  0  4  0

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

Homogenous weight enumerator: w(x)=1x^0+50x^27+161x^28+154x^29+163x^30+318x^31+494x^32+514x^33+459x^34+506x^35+461x^36+302x^37+132x^38+138x^39+144x^40+54x^41+12x^42+12x^43+17x^44+1x^46+1x^48+1x^50+1x^52

The gray image is a code over GF(2) with n=136, k=12 and d=54.
This code was found by Heurico 1.16 in 1.9 seconds.