The generator matrix

 1  0  1  1  1 X+2  1  1  2  X  1  1  1  0  1 X+2  1  1  1  X X+2  1  1  1  0  1  1  2  1  X  1  X  1  1  0  0  X  X  X  1  1  1  0  1  1  2  1  1  1  1
 0  1  1 X+2 X+3  1  2 X+1  1  1  3  X X+3  1  0  1  1 X+2  0  1  1 X+1  2  X  1  1 X+3  1 X+3  1 X+2  1 X+2  0  0  1  1  1  0  2 X+3  3  1 X+3  1  1 X+2  1  0  0
 0  0  X  0 X+2  0  X  2 X+2  X  2  X X+2  0  0  2 X+2  2 X+2 X+2 X+2  2  X  X  0  2  0 X+2 X+2  X  0 X+2 X+2  X  X  X  0 X+2 X+2  0  X  0  X  2 X+2  X  X  2  0  0
 0  0  0  2  0  0  0  2  2  2  0  2  0  0  2  0  0  0  2  0  0  2  2  2  2  0  2  2  2  0  0  2  2  0  2  2  2  2  0  0  2  2  0  0  0  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  2  0  2  2  2  2  2  0  2  2  2  0  2  0  0  2  0  0  2  2  2  0  0  2  0  0  2  0  0  0  2  0  2  2  0  2  0  2  0  0  2
 0  0  0  0  0  2  2  0  2  0  2  2  2  2  2  0  2  2  0  2  0  2  2  0  0  0  2  2  2  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  2  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+33x^44+112x^45+146x^46+278x^47+167x^48+300x^49+136x^50+246x^51+129x^52+198x^53+78x^54+108x^55+49x^56+24x^57+14x^58+6x^59+2x^60+6x^61+8x^62+2x^63+3x^64+2x^66

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 0.21 seconds.