The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+91x^20+57x^22+4x^23+291x^24+56x^25+261x^26+220x^27+663x^28+872x^29+839x^30+3624x^31+1296x^32+7536x^33+1253x^34+7480x^35+1105x^36+3600x^37+1017x^38+916x^39+513x^40+216x^41+503x^42+44x^43+125x^44+8x^45+133x^46+11x^48+31x^50+2x^54

The gray image is a code over GF(2) with n=136, k=15 and d=40.
This code was found by Heurico 1.16 in 16.4 seconds.