The generator matrix

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

generates a code of length 52 over Z8 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+64x^41+135x^42+172x^43+263x^44+362x^45+551x^46+674x^47+897x^48+1274x^49+1396x^50+1548x^51+1719x^52+1556x^53+1388x^54+1284x^55+972x^56+660x^57+492x^58+372x^59+213x^60+162x^61+111x^62+42x^63+24x^64+18x^65+16x^66+4x^67+5x^68+6x^70+2x^72+1x^74

The gray image is a code over GF(2) with n=208, k=14 and d=82.
This code was found by Heurico 1.16 in 51.5 seconds.