The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+35x^24+84x^25+158x^26+214x^27+355x^28+488x^29+847x^30+1196x^31+1648x^32+2070x^33+2105x^34+2136x^35+1683x^36+1252x^37+830x^38+500x^39+329x^40+180x^41+136x^42+50x^43+41x^44+20x^45+19x^46+3x^48+2x^49+1x^50+1x^52

The gray image is a code over GF(2) with n=136, k=14 and d=48.
This code was found by Heurico 1.16 in 5.91 seconds.