The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+10x^54+52x^55+8x^56+40x^57+4x^58+4x^59+6x^60+1x^64+2x^74

The gray image is a code over GF(2) with n=224, k=7 and d=108.
This code was found by Heurico 1.11 in 0.0631 seconds.