The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+87x^42+278x^43+807x^44+1136x^45+2122x^46+2700x^47+4030x^48+4840x^49+6439x^50+6282x^51+7712x^52+6576x^53+6579x^54+5004x^55+4291x^56+2528x^57+1876x^58+1038x^59+657x^60+256x^61+170x^62+56x^63+37x^64+24x^65+5x^66+2x^67+1x^70+1x^72+1x^74

The gray image is a code over GF(2) with n=208, k=16 and d=84.
This code was found by Heurico 1.16 in 93.6 seconds.