The generator matrix

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

generates a code of length 57 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+107x^48+116x^50+332x^52+208x^54+295x^56+232x^58+332x^60+176x^62+130x^64+36x^66+52x^68+25x^72+4x^76+2x^80

The gray image is a code over GF(2) with n=114, k=11 and d=48.
This code was found by Heurico 1.16 in 0.624 seconds.