The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  2  1 X+2  1  0  1 X+2  1  1  1  1  1  1  X X+2  1  X  1  1  1 X+2  1  1  2  1  1  1 X+2  1  1  2  1  1  1 X+2  1  2  1  1  2  1  1  X  2  1  1
 0  1  1  0  1  1  2 X+1  1  0 X+1  1 X+2  1 X+3  1  3  1  X  X X+1 X+1  X X+1  1  1 X+2  1  X X+1  2  1  0 X+1  1  0  3  2  1  X X+1  1  1 X+3  3  1 X+3  1  X  3  X X+2  0 X+2  X  X  0
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  2  2  2  2  2  2  X  X  X X+2 X+2  X X+2  2 X+2 X+2 X+2 X+2 X+2 X+2 X+2 X+2  0 X+2  X  2  X X+2  0  X  2  2 X+2  2  2  0  X  X  X
 0  0  0  X  0  0  0  0  0  X  0  2  0  X X+2  X  2 X+2  X  2  X  0  X X+2  0  X  X  X X+2  X  2  X  2  X  X  2  0  0  2  X X+2  2 X+2  X  X  X X+2  X X+2  2  0 X+2 X+2  X X+2  0 X+2
 0  0  0  0  X  0  2 X+2  X  2  2 X+2  X  X X+2  2  0  2 X+2 X+2  2  2  0  X  2 X+2  2 X+2  X X+2 X+2  X  2  2  2  X  2  X  X X+2  0  2  X X+2  X X+2  2 X+2  2  2  0 X+2 X+2  0  0  0  X
 0  0  0  0  0  X X+2 X+2 X+2 X+2  X  0  X  2  X  X  2  2  X  0 X+2  X  2  0  2 X+2  2  0  2  0  2  X X+2  0  2 X+2  0  0  2  2 X+2  X  X X+2  0  X  2  0 X+2 X+2  0  X  0  X  X  X X+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+195x^48+72x^49+570x^50+292x^51+1007x^52+744x^53+1488x^54+1264x^55+1942x^56+1432x^57+1906x^58+1208x^59+1446x^60+760x^61+896x^62+304x^63+463x^64+64x^65+200x^66+4x^67+90x^68+28x^70+7x^72+1x^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 14 seconds.