The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+76x^51+229x^52+274x^53+252x^54+274x^55+173x^56+130x^57+171x^58+108x^59+91x^60+86x^61+68x^62+60x^63+24x^64+6x^65+11x^66+8x^67+2x^70+2x^71+2x^72

The gray image is a code over GF(2) with n=224, k=11 and d=102.
This code was found by Heurico 1.11 in 0.125 seconds.