The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^31+171x^32+244x^33+448x^34+686x^35+931x^36+1162x^37+1718x^38+2582x^39+3007x^40+3352x^41+3751x^42+3546x^43+3100x^44+2544x^45+1856x^46+1350x^47+818x^48+560x^49+375x^50+198x^51+143x^52+70x^53+42x^54+14x^55+19x^56+4x^57+1x^58+2x^59+2x^60+1x^66

The gray image is a code over GF(2) with n=168, k=15 and d=62.
This code was found by Heurico 1.16 in 33.4 seconds.