The generator matrix

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

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+228x^52+416x^53+275x^54+566x^55+353x^56+482x^57+254x^58+408x^59+196x^60+308x^61+98x^62+134x^63+103x^64+66x^65+6x^66+22x^67+12x^68+8x^69+7x^70+3x^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 1.65 seconds.