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

generates a code of length 57 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+42x^54+51x^56+20x^62+10x^64+2x^70+1x^72+1x^80

The gray image is a code over GF(2) with n=114, k=7 and d=54.
This code was found by Heurico 1.16 in 29.2 seconds.