The generator matrix

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

generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+96x^49+187x^50+288x^51+462x^52+548x^53+669x^54+736x^55+798x^56+846x^57+738x^58+758x^59+601x^60+432x^61+402x^62+218x^63+159x^64+104x^65+43x^66+42x^67+24x^68+20x^69+9x^70+6x^71+2x^72+2x^73+1x^76

The gray image is a code over GF(2) with n=228, k=13 and d=98.
This code was found by Heurico 1.16 in 78 seconds.