The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  4  0  2  1  0  1  1  1  0  1  0  4  0  1  2  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  0  6  6  2  2  2  6  2  6  4  4  4  2  2  4  4  2  4  2  2  2  2  6  0  4
 0  0  2  0  0  0  0  0  0  0  2  2  6  2  6  2  2  2  0  4  0  4  2  4  2  2  2  2  4  0  6  0  2  6  2  4  6  2  0  0  4  2
 0  0  0  2  0  0  0  2  6  2  4  2  2  2  2  0  0  0  6  2  4  0  4  6  6  2  2  4  0  0  6  6  4  4  6  0  0  2  4  0  0  0
 0  0  0  0  2  0  2  2  2  4  4  4  4  2  6  2  2  0  0  6  2  6  4  6  6  4  4  4  4  2  2  6  6  2  2  4  0  0  0  0  2  0
 0  0  0  0  0  2  2  0  2  6  2  0  2  2  4  0  2  6  4  0  0  2  4  2  6  6  4  4  2  4  6  2  4  0  0  2  2  6  0  2  4  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  0  4  0  4  4  4  0  4  0  4  0  4  0  4  4  4  0  4  0  0  4  0  0  0  0  4  4  0
 0  0  0  0  0  0  0  4  4  0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  4  4  4  0  0  4  4  4  0  0  0  4  0  4  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+84x^31+167x^32+242x^33+428x^34+500x^35+656x^36+1116x^37+1513x^38+2230x^39+3290x^40+3940x^41+4283x^42+4098x^43+3186x^44+2352x^45+1637x^46+1024x^47+751x^48+466x^49+296x^50+232x^51+126x^52+68x^53+33x^54+22x^55+14x^56+8x^57+1x^58+2x^59+1x^62+1x^64

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 32.6 seconds.