The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+54x^44+78x^45+189x^46+268x^47+517x^48+702x^49+1130x^50+1378x^51+1872x^52+2402x^53+2727x^54+3354x^55+3345x^56+3302x^57+2866x^58+2500x^59+1891x^60+1442x^61+1063x^62+624x^63+432x^64+250x^65+194x^66+58x^67+66x^68+14x^69+21x^70+10x^71+8x^72+2x^73+2x^74+5x^76+1x^88

The gray image is a code over GF(2) with n=224, k=15 and d=88.
This code was found by Heurico 1.16 in 35.5 seconds.