The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+171x^48+60x^49+386x^50+300x^51+685x^52+468x^53+916x^54+684x^55+965x^56+748x^57+794x^58+484x^59+678x^60+252x^61+270x^62+68x^63+150x^64+8x^65+60x^66+27x^68+6x^70+9x^72+2x^76

The gray image is a code over GF(2) with n=224, k=13 and d=96.
This code was found by Heurico 1.16 in 2.58 seconds.