The generator matrix

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

generates a code of length 57 over Z4 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+48x^53+43x^54+53x^56+32x^57+48x^61+19x^62+6x^64+1x^70+3x^72+1x^78+1x^80

The gray image is a code over GF(2) with n=114, k=8 and d=53.
This code was found by Heurico 1.16 in 7.95 seconds.