The generator matrix

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

generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+174x^50+236x^51+693x^52+428x^53+840x^54+532x^55+943x^56+680x^57+946x^58+584x^59+745x^60+380x^61+416x^62+180x^63+242x^64+48x^65+68x^66+4x^67+26x^68+20x^70+6x^72

The gray image is a code over GF(2) with n=228, k=13 and d=100.
This code was found by Heurico 1.16 in 3.46 seconds.