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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  2  1  1  1  1  1  2  2  1
 0  2  0  0  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0  0  0  0  2  2  0  2  0  2  0  0  0  2  2  2  0  2  2  2  2  0  0  2  0  0  2  0  2  2  0  0  2  0  2  2  0  2  2  0  0
 0  0  2  0  0  0  0  0  2  2  2  2  0  0  0  2  0  2  2  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0  0  2  2  0  2  0  0  2  0  2  2  2  0  0  2  2  2
 0  0  0  2  0  0  0  0  2  0  0  2  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  2  2  2  0  2  0  0  2  2  0  2  2  0  0  0  2  0  0  0  0  2  0  0  0  0  2  2  2  2  2  0  0  2
 0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  2  2  2  0  0  2  0  0  0  0  2  2  2  2  0  0  0  2  0  0  0  0  2  2  2  0  0  2  2  0  0  2  0  2  0  2  2  2  0  2  0  2
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  0  2  2  0  0  0  2  0  2  2  0  0  0  2  2  0  2  0  2  2  0  0  0  0  2  0  0  2  2  2  2  0  2  2  0  0  2  2  2  2  2  2  2  2  2  0
 0  0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  2  0  0  0  2  2  0  0  0  0  2  0  2  0  2  2  2  0  0  0  2  0  2  0  2  2  0  2  0  2  2  0  2  2  2  0  2  0  0  2  0  0  0  0  2
 0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  0  0  0  2  2  0  2  2  0  0  0  2  0  0  2  2  0  0  2  2  2  0  0  0  2  2  0  0  2  0  0  2  0  0  2  2  0  0  0  2  2  0  2  0  2  2  0  2

generates a code of length 63 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+84x^56+8x^58+69x^60+80x^62+143x^64+40x^66+35x^68+44x^72+7x^76+1x^116

The gray image is a code over GF(2) with n=126, k=9 and d=56.
This code was found by Heurico 1.16 in 0.0979 seconds.