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

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+136x^40+16x^42+267x^44+128x^46+393x^48+1024x^49+224x^50+1024x^51+365x^52+128x^54+218x^56+16x^58+114x^60+36x^64+5x^68+1x^76

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 1.37 seconds.