The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+236x^48+216x^49+800x^50+636x^51+1330x^52+952x^53+1770x^54+1320x^55+2067x^56+1180x^57+1836x^58+1004x^59+1182x^60+624x^61+640x^62+176x^63+267x^64+36x^65+68x^66+32x^68+6x^70+5x^72

The gray image is a code over GF(2) with n=224, k=14 and d=96.
This code was found by Heurico 1.16 in 8.25 seconds.