The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+84x^25+165x^26+256x^27+380x^28+520x^29+696x^30+1230x^31+1660x^32+1950x^33+2333x^34+2064x^35+1724x^36+1258x^37+777x^38+536x^39+301x^40+206x^41+112x^42+72x^43+27x^44+14x^45+11x^46+2x^47+2x^48+2x^50+1x^52

The gray image is a code over GF(2) with n=136, k=14 and d=50.
This code was found by Heurico 1.16 in 6.35 seconds.