The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  X  1  X  2  1  1  0  X  1  X  1  1  1  2  1  0  X  1  1  X  1  X  2  X  1  1  X  X  1  1
 0  X  0  X  0  0  X X+2  0  2 X+2  X  0  X  X  2  2 X+2  0  X X+2  0  X  2  X  X  X X+2 X+2  X  X  0  X  0 X+2  0 X+2  2  2  2  X  0  2 X+2  X  X  2  2  0  X  0  2  2  0  X  2  0
 0  0  X  X  0 X+2  X  0  2  X  0  X  0 X+2  2  X  X  2  0 X+2 X+2  X  2  0  2  X  0  0 X+2 X+2 X+2  X  2  X  2  2  0  2  X X+2 X+2  X  X  X X+2  0  X  0 X+2 X+2  X  0  2 X+2  0  2  0
 0  0  0  2  0  0  0  0  2  2  2  2  2  0  2  0  0  0  0  2  0  2  0  2  0  2  2  2  0  2  2  0  0  0  0  0  2  0  0  2  2  2  2  0  0  2  0  2  0  0  0  2  0  2  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  0  0  0  0  0  2  2  2  2  0  2  0  2  0  0  2  2  2  2  0  2  0  0  2  0  2  2  0  0  0  2  0  2  2  0  2  0  0  2  2  0  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  2  2  2  2  2  2  2  0  2  0  0  0  2  2  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  0  0  0  0  2  2  2  2  0  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  2  2  2  2  2  0  0  2  0  0  0  0  2  0  2  0  2  0  2  2  2  2  0  0  2  2  2  2  2  2  0  0  2  2  0  2  2  2  2  2  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  2  2  0  2  2  0  0  2  0  0  2  2  0  0  2  2  2  2  2  2  2  0  2  0  0  2  0  0  2  0  0  2  2  0  0  2  0  0  2  2  0  0  0  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+57x^48+44x^49+119x^50+156x^51+206x^52+246x^53+287x^54+366x^55+377x^56+464x^57+398x^58+364x^59+249x^60+212x^61+158x^62+112x^63+98x^64+52x^65+48x^66+24x^67+32x^68+6x^69+11x^70+2x^71+3x^72+2x^74+1x^76+1x^82

The gray image is a code over GF(2) with n=228, k=12 and d=96.
This code was found by Heurico 1.16 in 1.14 seconds.