The generator matrix

 1  0  0  0  1  1  1  1  X  1  0  1  1  2  X  1  1  1  1  1  1  1  0  2  0  1  X X+2  1 X+2  1  2  1  2  1  1  1  1 X+2  X  1  2  1  X  0  X  0  X  1  1
 0  1  0  0  0  1  2  3  1  1  1 X+2  1  1  0  X  3 X+1 X+3  X  1  2  1  1 X+2  2  2  1  X  1  0  1 X+1  X  2 X+2  3 X+2  1  1 X+3  1  2  X  0  1  X X+2  0  0
 0  0  1  0  1  2  0  3  1  X X+2 X+1 X+3  3  1 X+2 X+1  2 X+3  3  0  1 X+1  2  1  X  1  X X+3 X+1  3  0 X+2  1  X  X X+2  3 X+3  0 X+1 X+1 X+3  1  X X+2  1  1  1  0
 0  0  0  1  2  0  1  3 X+3  1 X+3 X+1  X  X  3  0  1 X+3  2  X X+2 X+1  3 X+1  1  3  X  X  1  0 X+2  1 X+1  0 X+1  X  2  2  1  1  X X+2  X  2  1  0 X+3 X+3  3  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+52x^44+336x^45+312x^46+440x^47+419x^48+504x^49+337x^50+372x^51+335x^52+274x^53+178x^54+216x^55+110x^56+116x^57+37x^58+44x^59+11x^60+2x^61

The gray image is a code over GF(2) with n=200, k=12 and d=88.
This code was found by Heurico 1.11 in 0.241 seconds.