The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+35x^40+42x^41+65x^42+94x^43+97x^44+212x^45+123x^46+460x^47+126x^48+704x^49+158x^50+744x^51+139x^52+484x^53+102x^54+212x^55+68x^56+86x^57+45x^58+26x^59+31x^60+8x^61+15x^62+9x^64+4x^66+5x^68+1x^72

The gray image is a code over GF(2) with n=200, k=12 and d=80.
This code was found by Heurico 1.16 in 1.02 seconds.