The generator matrix

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

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+60x^45+496x^46+404x^47+1043x^48+828x^49+1644x^50+1212x^51+1966x^52+1200x^53+2018x^54+1160x^55+1549x^56+812x^57+1038x^58+348x^59+338x^60+108x^61+110x^62+12x^63+30x^64+6x^66+1x^72

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 8.58 seconds.