The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^44+80x^45+379x^46+244x^47+663x^48+544x^49+926x^50+608x^51+1051x^52+784x^53+919x^54+488x^55+562x^56+256x^57+280x^58+64x^59+118x^60+45x^62+4x^63+38x^64+10x^66+3x^68+1x^70

The gray image is a code over GF(2) with n=208, k=13 and d=88.
This code was found by Heurico 1.16 in 2.21 seconds.