The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  2  1  1  0  1  1  2  1  1  0  1  1 X+2  1  1  1  0  1 X+2  0  1  2  1  1  1 X+2  1  2 X+2  1  1  1  1  1  1  2  X  X  1  2  X  1  X  X  1
 0  1  1  0  1  1  X X+3  1 X+2 X+3  1  1  2 X+1  1  0 X+3  1  X X+1  1  3  1  1 X+2  2 X+2  1  3  1  1  X  1  0  1 X+3  1  3  1  1  2 X+3 X+2  3  3  0  X  1  1  X  1  X  3  X X+2  0
 0  0  X  0  0  0  0  0  0  0 X+2  2 X+2  X  2  X  X X+2  X  X  2  2  0  X  0  X  2  0  X  0  X  2  2 X+2  X X+2 X+2  X  0  0 X+2  2  X  0  2 X+2  X  X  X  2 X+2 X+2 X+2 X+2  X X+2  0
 0  0  0  X  0  0  X  2  0  0  0  0  0  X  X  X  2 X+2 X+2  0  2 X+2  2  2  X  X  X  X  2  X  0 X+2  2  0 X+2  0  2  X X+2  0 X+2  0 X+2  X  0  2  0  X  2  X  2  0  0  X  X  X  X
 0  0  0  0  X  0  0 X+2 X+2  2  2 X+2  2 X+2 X+2  2 X+2  0  X  0  2  0  0  X  X  0 X+2 X+2  X  X X+2  X  X  2  0  2  2  0 X+2  0 X+2  X X+2  2 X+2  X X+2 X+2  0  0  2  0  0  X  X  0 X+2
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  0  2  0  2  0  2  0  2  2  2  2  0  0  2  0  2  2  0  2  0  0  0  0  2  2  0  0  2  0
 0  0  0  0  0  0  2  2  0  2  2  2  0  2  0  0  2  0  2  0  2  2  0  0  2  2  2  0  2  2  0  2  0  2  0  0  2  2  0  2  0  0  0  2  2  2  0  2  2  2  0  2  2  0  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+205x^48+72x^49+532x^50+376x^51+1030x^52+724x^53+1480x^54+1224x^55+1992x^56+1372x^57+1798x^58+1168x^59+1562x^60+812x^61+880x^62+296x^63+438x^64+92x^65+204x^66+8x^67+72x^68+32x^70+12x^72+2x^74

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 13.1 seconds.