The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+106x^48+139x^50+68x^52+348x^54+697x^56+471x^58+60x^60+20x^62+69x^64+45x^66+22x^72+1x^74+1x^88

The gray image is a code over GF(2) with n=224, k=11 and d=96.
This code was found by Heurico 1.16 in 86 seconds.