The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+95x^50+298x^51+417x^52+330x^53+393x^54+500x^55+393x^56+346x^57+296x^58+306x^59+230x^60+128x^61+156x^62+112x^63+37x^64+18x^65+17x^66+9x^68+10x^69+3x^70+1x^72

The gray image is a code over GF(2) with n=224, k=12 and d=100.
This code was found by Heurico 1.16 in 0.552 seconds.