The generator matrix

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

generates a code of length 42 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+115x^28+394x^32+40x^34+843x^36+480x^38+1669x^40+9200x^42+1795x^44+480x^46+870x^48+40x^50+333x^52+102x^56+18x^60+3x^64+1x^72

The gray image is a code over GF(2) with n=168, k=14 and d=56.
This code was found by Heurico 1.16 in 9.74 seconds.