The generator matrix

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

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+239x^48+60x^49+544x^50+348x^51+1015x^52+640x^53+1484x^54+1272x^55+1958x^56+1544x^57+1814x^58+1152x^59+1452x^60+768x^61+924x^62+296x^63+462x^64+60x^65+216x^66+4x^67+107x^68+8x^70+12x^72+2x^74+2x^76

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 13.2 seconds.