The generator matrix

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

generates a code of length 53 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+160x^45+373x^46+562x^47+799x^48+1006x^49+1266x^50+1510x^51+1616x^52+1694x^53+1748x^54+1628x^55+1364x^56+1000x^57+647x^58+404x^59+256x^60+160x^61+86x^62+50x^63+24x^64+10x^65+7x^66+6x^67+4x^68+2x^69+1x^70

The gray image is a code over GF(2) with n=212, k=14 and d=90.
This code was found by Heurico 1.16 in 27.9 seconds.