The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+248x^44+220x^45+600x^46+560x^47+1379x^48+948x^49+1808x^50+1356x^51+2318x^52+1308x^53+1724x^54+988x^55+1299x^56+572x^57+540x^58+164x^59+228x^60+24x^61+60x^62+4x^63+24x^64+4x^66+6x^68+1x^72

The gray image is a code over GF(2) with n=208, k=14 and d=88.
This code was found by Heurico 1.16 in 14.9 seconds.