The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+109x^46+100x^47+534x^48+596x^49+1133x^50+1444x^51+1984x^52+2520x^53+2822x^54+3504x^55+3221x^56+3520x^57+2942x^58+2608x^59+1964x^60+1448x^61+1014x^62+524x^63+439x^64+108x^65+153x^66+12x^67+40x^68+14x^70+5x^72+4x^74+4x^76+1x^78

The gray image is a code over GF(2) with n=224, k=15 and d=92.
This code was found by Heurico 1.16 in 33.4 seconds.