The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+26x^40+68x^41+275x^42+490x^43+782x^44+1394x^45+1948x^46+2750x^47+3790x^48+4948x^49+5978x^50+6612x^51+7135x^52+6724x^53+6055x^54+5244x^55+3864x^56+2812x^57+1844x^58+1154x^59+724x^60+410x^61+258x^62+134x^63+53x^64+28x^65+22x^66+7x^68+3x^70+2x^72+1x^74

The gray image is a code over GF(2) with n=208, k=16 and d=80.
This code was found by Heurico 1.16 in 98.7 seconds.