The generator matrix

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

generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+150x^51+236x^52+402x^53+280x^54+574x^55+336x^56+506x^57+218x^58+382x^59+255x^60+310x^61+112x^62+154x^63+48x^64+54x^65+26x^66+20x^67+13x^68+8x^69+4x^70+7x^72

The gray image is a code over GF(2) with n=228, k=12 and d=102.
This code was found by Heurico 1.16 in 0.701 seconds.