The generator matrix

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

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+81x^50+330x^51+549x^52+758x^53+651x^54+734x^55+747x^56+816x^57+624x^58+782x^59+611x^60+520x^61+318x^62+266x^63+180x^64+112x^65+61x^66+32x^67+8x^68+2x^69+7x^70+2x^74

The gray image is a code over GF(2) with n=228, k=13 and d=100.
This code was found by Heurico 1.13 in 1.03 seconds.