The generator matrix

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

generates a code of length 42 over Z8 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+10x^29+85x^30+48x^31+206x^32+216x^33+300x^34+508x^35+778x^36+1224x^37+1806x^38+2500x^39+3086x^40+3626x^41+3804x^42+3736x^43+3158x^44+2570x^45+1816x^46+1208x^47+781x^48+476x^49+308x^50+172x^51+158x^52+68x^53+66x^54+20x^55+21x^56+2x^57+4x^58+2x^60+3x^62+1x^72

The gray image is a code over GF(2) with n=168, k=15 and d=58.
This code was found by Heurico 1.16 in 71.2 seconds.