The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+102x^42+416x^43+743x^44+1294x^45+2091x^46+2932x^47+3816x^48+5004x^49+5987x^50+6486x^51+7195x^52+6964x^53+6176x^54+5304x^55+3907x^56+2788x^57+1880x^58+1168x^59+646x^60+310x^61+169x^62+76x^63+44x^64+24x^65+11x^66+2x^67

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 97 seconds.