The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+222x^48+260x^49+762x^50+788x^51+1088x^52+1368x^53+1264x^54+1684x^55+1536x^56+1752x^57+1410x^58+1348x^59+1036x^60+664x^61+512x^62+268x^63+245x^64+52x^65+74x^66+8x^67+28x^68+8x^70+4x^72+2x^74

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 8.95 seconds.