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

generates a code of length 52 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+61x^44+116x^46+299x^48+326x^50+474x^52+350x^54+233x^56+98x^58+63x^60+6x^62+15x^64+2x^68+3x^72+1x^80

The gray image is a code over GF(2) with n=208, k=11 and d=88.
This code was found by Heurico 1.16 in 0.265 seconds.