The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0  0  1 X+2  1 X+2  1  1  1  1  1  1 X+2  1  X  1  1  1  0  1  1 X+2  1  X  1  1  1  1  1 X+2  2  1  2  X  1  1  1  1  1  2  0  1  1
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  1 X+2  1  1  0  1 X+3  1  2 X+2 X+1  3  X X+1  1  3  1  3 X+2  0  1  X  1  1  3  1 X+2 X+1 X+2 X+3  1  1  1 X+2  1 X+2  2 X+1 X+1 X+1 X+1  1  1 X+1  3
 0  0  X  0 X+2  0 X+2  2  X  X X+2  0  X  2  0 X+2  0 X+2  X  2  X  X  0  2  X  2  0 X+2  X  2  0  2  0  X X+2  0 X+2  X  0  2 X+2  2  2  X  2 X+2  2 X+2  X  2  0  2 X+2  X  X X+2  0
 0  0  0  2  0  0  0  2  2  0  0  0  0  0  0  2  2  0  0  0  2  2  2  2  2  0  0  2  0  2  2  0  2  2  0  2  0  0  2  0  2  2  0  2  0  0  2  0  0  2  0  2  2  2  0  2  2
 0  0  0  0  2  0  0  0  0  0  2  2  0  2  2  2  2  0  2  2  2  2  2  2  0  2  0  0  0  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  2  2  0  0  2  0  2  0  2  0  0  0  2
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  0  0  0  0  0  2  0  2  0  0  2  0  2  2  2  0  2  2  0  2  2  2  2  0  2  0  2  2  0  2  2  0  0  0  2  2  2  0  0  2  0  2  2
 0  0  0  0  0  0  2  0  2  0  0  0  2  0  0  2  0  0  2  0  2  0  2  0  0  2  2  0  2  2  2  0  2  2  2  2  0  2  0  2  2  0  0  0  2  0  0  2  0  0  2  2  0  2  2  0  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+110x^50+36x^51+376x^52+136x^53+561x^54+220x^55+550x^56+240x^57+539x^58+220x^59+488x^60+136x^61+265x^62+36x^63+91x^64+51x^66+19x^68+10x^70+9x^72+1x^76+1x^80

The gray image is a code over GF(2) with n=228, k=12 and d=100.
This code was found by Heurico 1.16 in 0.861 seconds.