The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+117x^28+26x^30+525x^32+378x^34+64x^35+1588x^36+448x^37+2224x^38+1344x^39+4898x^40+2240x^41+4980x^42+2240x^43+4976x^44+1344x^45+2234x^46+448x^47+1662x^48+64x^49+370x^50+440x^52+28x^54+106x^56+15x^60+8x^64

The gray image is a code over GF(2) with n=168, k=15 and d=56.
This code was found by Heurico 1.16 in 30.2 seconds.