The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^48+56x^49+91x^50+124x^51+156x^52+162x^53+124x^54+142x^55+112x^56+128x^57+133x^58+120x^59+100x^60+100x^61+108x^62+92x^63+59x^64+56x^65+41x^66+28x^67+32x^68+10x^69+8x^70+6x^71+4x^72+7x^74

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 0.526 seconds.