The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  0  2  1  2  4  2  2  1  4  1  1  1  1  0  1  1  1  1  2  1
 0  2  0  0  0  0  0  0  0  2  6  2  2  6  6  2  2  2  4  6  4  4  0  4  0  4  4  6  6  4  2  2  0  6  6  2  0  2  2  0  0  6  2  0  4  0  4  0  6  2  6  0  6  6  6  6
 0  0  2  0  0  0  2  6  2  0  0  4  2  2  2  6  0  0  2  0  4  0  6  4  6  6  4  6  2  2  0  6  6  4  6  0  2  6  2  6  4  2  6  6  0  6  6  4  2  6  6  6  2  2  0  0
 0  0  0  2  0  2  2  6  0  2  2  0  4  4  6  6  6  2  2  0  0  4  4  6  0  2  2  6  0  4  6  2  0  4  4  4  0  6  4  6  0  4  6  2  2  2  6  4  6  0  2  4  6  0  0  4
 0  0  0  0  2  2  0  6  2  4  6  6  4  2  4  2  0  2  0  2  6  4  4  4  6  6  2  0  6  4  2  4  0  0  6  6  0  6  4  2  2  2  2  2  2  6  4  6  2  6  0  2  0  6  0  2
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  4  4  0  4  4  4  4  4  4  0  4  0  4  4  4  0  0  0  4
 0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  0  4  0  0  0  0  0  4  0  0  4  0  0  4  4  0  4  0  4  0  0  4  0  4  0  0  0  0  0  4  4  4  4  4  4  4  0  4  0  4  4
 0  0  0  0  0  0  0  4  4  0  4  4  4  4  0  0  4  0  0  4  4  4  0  4  0  0  4  4  4  0  0  4  0  0  0  0  0  4  0  4  0  4  0  4  0  4  4  0  4  0  0  0  4  4  0  4

generates a code of length 56 over Z8 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+62x^45+132x^46+210x^47+278x^48+356x^49+411x^50+616x^51+872x^52+1084x^53+1451x^54+1756x^55+1903x^56+1780x^57+1540x^58+1118x^59+790x^60+624x^61+429x^62+320x^63+207x^64+174x^65+113x^66+66x^67+42x^68+14x^69+19x^70+10x^71+2x^72+2x^73+1x^78+1x^88

The gray image is a code over GF(2) with n=224, k=14 and d=90.
This code was found by Heurico 1.16 in 13.5 seconds.