The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+65x^24+110x^25+326x^26+620x^27+1228x^28+2136x^29+3474x^30+5146x^31+6870x^32+8372x^33+8771x^34+8360x^35+6960x^36+5160x^37+3529x^38+2164x^39+1187x^40+590x^41+260x^42+92x^43+68x^44+16x^45+20x^46+2x^47+5x^48+3x^50+1x^54

The gray image is a code over GF(2) with n=136, k=16 and d=48.
This code was found by Heurico 1.16 in 48.9 seconds.