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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+247x^44+48x^45+176x^47+305x^48+288x^49+288x^51+232x^52+176x^53+48x^55+190x^56+40x^60+8x^64+1x^76

The gray image is a code over GF(2) with n=200, k=11 and d=88.
This code was found by Heurico 1.16 in 14.2 seconds.