The generator matrix

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

generates a code of length 52 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+48x^45+151x^46+222x^47+285x^48+342x^49+423x^50+434x^51+367x^52+420x^53+454x^54+322x^55+204x^56+194x^57+104x^58+46x^59+28x^60+10x^61+17x^62+6x^64+8x^65+1x^66+5x^68+2x^69+2x^70

The gray image is a code over GF(2) with n=208, k=12 and d=90.
This code was found by Heurico 1.16 in 51.4 seconds.