The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+26x^50+2x^52+2x^54+1x^56

The gray image is a code over GF(2) with n=196, k=5 and d=100.
This code was found by Heurico 1.16 in 0.0382 seconds.