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

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

Homogenous weight enumerator: w(x)=1x^0+80x^40+108x^41+300x^42+384x^43+455x^44+566x^45+714x^46+806x^47+944x^48+1316x^49+2558x^50+4972x^51+6248x^52+5042x^53+2642x^54+1342x^55+938x^56+810x^57+666x^58+586x^59+449x^60+336x^61+268x^62+100x^63+101x^64+14x^65+19x^66+2x^67+1x^98

The gray image is a code over GF(2) with n=208, k=15 and d=80.
This code was found by Heurico 1.16 in 45.1 seconds.