The generator matrix

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

generates a code of length 52 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+58x^40+61x^42+50x^43+175x^44+136x^45+208x^46+286x^47+400x^48+628x^49+706x^50+948x^51+898x^52+944x^53+722x^54+636x^55+383x^56+296x^57+219x^58+122x^59+107x^60+40x^61+89x^62+6x^63+21x^64+4x^65+36x^66+4x^68+4x^70+1x^72+2x^74+1x^78

The gray image is a code over GF(2) with n=208, k=13 and d=80.
This code was found by Heurico 1.16 in 3.54 seconds.