The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+99x^44+336x^45+666x^46+900x^47+1054x^48+1254x^49+1524x^50+1616x^51+1587x^52+1642x^53+1478x^54+1358x^55+1065x^56+686x^57+494x^58+298x^59+182x^60+78x^61+24x^62+14x^63+12x^64+4x^65+6x^66+6x^67

The gray image is a code over GF(2) with n=208, k=14 and d=88.
This code was found by Heurico 1.11 in 3.09 seconds.