The generator matrix

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

generates a code of length 52 over Z8 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+69x^42+80x^43+215x^44+264x^45+585x^46+562x^47+1216x^48+896x^49+1944x^50+1282x^51+2279x^52+1258x^53+1889x^54+926x^55+1172x^56+562x^57+548x^58+198x^59+199x^60+86x^61+77x^62+24x^63+33x^64+6x^65+6x^66+3x^68+1x^70+2x^72+1x^74

The gray image is a code over GF(2) with n=208, k=14 and d=84.
This code was found by Heurico 1.16 in 8.61 seconds.