The generator matrix

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

generates a code of length 42 over Z8 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+74x^31+202x^32+314x^33+537x^34+832x^35+1381x^36+2206x^37+3322x^38+5088x^39+6581x^40+7878x^41+8520x^42+7836x^43+6863x^44+5098x^45+3354x^46+2284x^47+1319x^48+804x^49+495x^50+250x^51+145x^52+80x^53+28x^54+18x^55+17x^56+4x^57+2x^59+3x^60

The gray image is a code over GF(2) with n=168, k=16 and d=62.
This code was found by Heurico 1.16 in 89.3 seconds.