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  X  1  1  1  0  X  1  1  1  X  1  1  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  X  X  0  X  X  0  2  0  0  2  2  X  2  X  X  0  X  2  0  0 X+2  0  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  0 X+2  2  0 X+2  X  2  2 X+2  0 X+2  2 X+2 X+2  0  0
 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  0  2  2  2  2  2  2  2  2  2  0  0  2  2  0  2
 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  0  2  0  2  0  0  0  2  2  2  0  2  0  2  0  2  2  0  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  0  0  2  0  0  0  0  2  0  2  2  2  0  2  0  2  0  2  2  0  2  0  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  0  2  2  0  2  2  2  0  0  0  0  2  2  0  0  2  0  0  2  0  0  2  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+249x^44+545x^48+512x^50+510x^52+185x^56+41x^60+4x^64+1x^88

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 18.2 seconds.