The generator matrix

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

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+40x^45+113x^46+80x^47+87x^48+144x^49+229x^50+270x^51+218x^52+252x^53+197x^54+122x^55+60x^56+56x^57+78x^58+34x^59+14x^60+20x^61+17x^62+6x^63+4x^64+5x^66+1x^86

The gray image is a code over GF(2) with n=208, k=11 and d=90.
This code was found by Heurico 1.16 in 17.2 seconds.