The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^41+151x^42+210x^43+434x^44+578x^45+921x^46+1306x^47+1935x^48+2548x^49+2969x^50+3448x^51+3581x^52+3568x^53+3026x^54+2600x^55+1845x^56+1238x^57+985x^58+582x^59+356x^60+190x^61+117x^62+46x^63+32x^64+20x^65+15x^66+5x^68+8x^70+3x^72

The gray image is a code over GF(2) with n=208, k=15 and d=82.
This code was found by Heurico 1.16 in 33.7 seconds.