The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+460x^20+160x^22+1637x^24+800x^26+908x^28+129x^32+1x^40

The gray image is a code over GF(2) with n=100, k=12 and d=40.
This code was found by Heurico 1.16 in 69.1 seconds.