The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  2  1  1  2  1  1  2  1  1  2  1  1  0  1  1  0  1  2  1  2  1  2  1  2  0  2  1  1  0  2  1  2  0  1  0  0  0  2  2  0  0  0
 0  1  1  0  1  1  3  0  1  0  3  1  2  3  1  2  1  1  2  3  1  2  1  1  0  3  1  0  3  1  2  0  0  0  1  1  3  1  2  0  2  1  1  0  1  0  2  0  1  2  2  0  0  2  2  2
 0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  2  0  2  0  2  0  0  2  0  0  0  0  2  2  2  2  0  0  2  2  0  0  2  0  0  0  0  2  2  2  2  0  2  0  0  2  0  0  2  2  0
 0  0  0  2  0  2  2  2  2  0  2  0  0  0  0  2  2  2  2  0  2  0  2  0  0  0  2  2  2  0  2  0  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  2  2  2  0  2  0  0
 0  0  0  0  2  0  2  2  2  2  0  2  2  2  2  2  2  2  0  0  0  0  0  0  2  0  2  0  2  0  0  2  2  0  2  2  0  0  0  2  2  0  0  2  2  0  2  0  2  2  2  0  0  0  0  0

generates a code of length 56 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+44x^54+52x^56+16x^58+8x^60+3x^64+4x^70

The gray image is a code over GF(2) with n=112, k=7 and d=54.
This code was found by Heurico 1.16 in 1.47 seconds.