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

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+55x^44+98x^46+16x^47+172x^48+112x^49+160x^50+112x^51+137x^52+16x^53+74x^54+40x^56+20x^58+8x^60+2x^64+1x^88

The gray image is a code over GF(2) with n=200, k=10 and d=88.
This code was found by Heurico 1.16 in 0.114 seconds.