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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+118x^42+309x^44+509x^46+733x^48+836x^50+735x^52+446x^54+210x^56+122x^58+51x^60+13x^62+8x^64+4x^66+1x^68

The gray image is a code over GF(2) with n=200, k=12 and d=84.
This code was found by Heurico 1.16 in 2.31 seconds.