The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  X X+2  X  X  1  1  2  1  1  2  1  1  1 X+2  0  0 X+2  0  2  1  1  1  0  1  1  0  1  X  1  1  1 X+2  1  1  2  1  1 X+2  1  1  1  1  0  0  1
 0  1  0  X  1 X+3  1 X+2  0  2  1 X+1  1  1  X  1  1 X+2  1 X+1  0  1  3 X+1  X  1  0  1  1 X+2  1  1  1  0  1  3  X  1  X  2 X+3 X+1  1  2 X+2  X  1  0 X+3  1  X X+3  2 X+2  1  X  0
 0  0  1  1 X+3 X+2  1 X+3 X+2  1  1  0  X X+1  1  2  X  0 X+3 X+1 X+3 X+2  X  3 X+2  0  1 X+2 X+1  1  1  2  1  0 X+1  1  3  X  X  1  1 X+2  X  1  X  3  1  3  1  X  X  2 X+1  2  1  2  2
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  2  2  2  2  2  2  0  2  0  0  0  2  2  0  0  0  2  2  0  2  2  2  0  2  0  2  2  2  2  0  2  2  0  0  2  2  0  2  2  2  0  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  2  2  0  2  0  0  2  0  2  2  0  2  2  0  2  2  0  0  0  0  2  2  0  2  0  2  2  2  0  0  0  0  0  2  2  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  0  2  2  2  2  0  0  0  0  2  2  0  2  0  0  2  0  2  0  2  2  2  2  2  2  2  2  0  0  2  0  0  2  2  0  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  2  2  2  0  0  2  2  2  2  0  0  2  2  0  0  2  0  0  2  0  0  2  2  2  0  2  2  2  2  2  2  2
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  0  2  2  0  2  2  0  0  2  2  2  0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  2  2  0  0  2  0  2  0  0  2  2  2  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+62x^48+188x^49+411x^50+558x^51+811x^52+1052x^53+1182x^54+1610x^55+1643x^56+1422x^57+1640x^58+1620x^59+1257x^60+1004x^61+743x^62+516x^63+289x^64+164x^65+97x^66+46x^67+27x^68+8x^69+18x^70+2x^71+5x^72+2x^73+4x^74+1x^76+1x^78

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 10.2 seconds.