The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+127x^48+324x^49+757x^50+786x^51+1226x^52+1120x^53+1611x^54+1368x^55+1874x^56+1364x^57+1620x^58+1228x^59+1144x^60+624x^61+552x^62+252x^63+230x^64+80x^65+63x^66+10x^67+6x^68+8x^69+5x^70+4x^71

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 7.33 seconds.