The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^54+30x^55+73x^56+9x^58+6x^60+2x^71+1x^82

The gray image is a code over GF(2) with n=224, k=7 and d=108.
This code was found by Heurico 1.16 in 0.0592 seconds.