The generator matrix

 1  0  0  1  1  1 X+2  1  1  1  1 X+2 X+2  0  1  1  1  1  1  X  1  2  0  1  X  2  1  1  X  1  1  1  2  1  2  X  2  1  0 X+2  2  1  1  1  1  1  1  1  1  0  1  2  2  2  1  X  0
 0  1  0  0  1 X+3  1  2  0  1 X+1  X  1  1 X+2 X+2  1 X+2 X+3  0  X  1  1 X+1  0  1  2  2  1  X  3 X+1  1 X+2  1  0  0  X  X  1  1  3 X+3  2 X+1 X+1  2  0  X  0  X  2  1  2 X+1  1  1
 0  0  1  1 X+1  0 X+3 X+2 X+1  1 X+2  1  X  3  X  1 X+3 X+2  X  1  1  1  X  1  1  1  1  2  2  0  1  0 X+1 X+1 X+2  1  1  3  1  0  0 X+2 X+1 X+1 X+3 X+2  1 X+1 X+2  1  1  1 X+2  2  1 X+1  2
 0  0  0  X  X X+2  0 X+2  2  0  2  X X+2  X  X  X  2  0 X+2  X  0  0 X+2  0  2  X  0  X  0  2 X+2  2  X X+2  0  X  X  2  2 X+2 X+2  2  0  X X+2  0  X  2 X+2  0  X X+2 X+2  X  X  2  2
 0  0  0  0  2  0  0  0  0  2  0  0  0  0  0  2  2  0  0  0  2  2  0  2  2  2  0  2  2  2  2  2  0  2  2  2  0  0  0  2  0  0  0  2  2  0  0  2  2  0  2  0  2  2  2  0  0
 0  0  0  0  0  2  0  0  0  0  2  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  2  0  2  2  0  2  2  2  0  2  0  2  2  0  2  0  2  0  0  2  2  0  2  0  0  0  0  2  0  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  2  0  2  0  2  2  0  0  2  0  2  2  0  2  0  2  2  0  2  2  2  0  0  0  0  2  0  0  2  0  0  2  2

generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+48x^48+184x^49+447x^50+532x^51+854x^52+852x^53+1482x^54+1348x^55+1852x^56+1408x^57+1751x^58+1298x^59+1486x^60+856x^61+813x^62+466x^63+321x^64+152x^65+94x^66+66x^67+39x^68+4x^69+21x^70+2x^71+5x^72+1x^76+1x^80

The gray image is a code over GF(2) with n=228, k=14 and d=96.
This code was found by Heurico 1.16 in 10.3 seconds.