The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  2  1  1  1 X+2  1 X+2  1  1  X  1  1  1  1  1  1 X+2  1  0  1  1  1  1  0  1  0  X  1  2  X  1  X X+2  1  1  0
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  2 X+3  1  0 X+2  3  1  3  1 X+2 X+1  1 X+1 X+2  X  3 X+1  3  1  0  1  0 X+3  1 X+2  1 X+3  1  2  X  1  1  X  1  1  X X+3  2
 0  0  X  0 X+2  0 X+2  2  X  X  X  2 X+2  X  X  2 X+2  2  2  X X+2  0  0  X  0  0 X+2  2 X+2  X  0  0  0  2 X+2 X+2 X+2  0  0 X+2 X+2  2 X+2  2  0  0  2  X  X  0
 0  0  0  2  0  0  0  2  2  0  2  0  0  0  2  0  0  0  0  0  2  0  2  2  0  2  0  0  2  2  2  2  2  0  2  0  2  2  0  2  0  0  0  0  2  0  2  2  2  0
 0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  0  0  2  0  2  2  0  2  0  2  2  0  2  0  2  0  0  2  2  0  2  0  2  0  0  2  0  0  2  0  2  0  0  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  2  2  0  0  2  2  2  0  2  2  0  0  2  2  2  0  0  2  2  0  2  0  2  2  0  2  2  0  2  0  2  2  0
 0  0  0  0  0  0  2  0  2  0  0  0  2  2  0  0  0  2  2  2  2  0  2  2  2  0  0  0  2  0  0  0  2  2  0  2  0  0  2  0  2  0  0  2  2  2  0  2  2  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+369x^44+460x^46+834x^48+840x^50+828x^52+432x^54+220x^56+56x^58+41x^60+4x^62+9x^64+2x^68

The gray image is a code over GF(2) with n=200, k=12 and d=88.
This code was found by Heurico 1.16 in 45.9 seconds.