The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1  X  1  X  2  1 X+2  2  1  1  1  1  0 X+2
 0  1  0  0  0  1  2  3  1  2 X+1 X+3  X  3  1  0  X  1 X+2 X+2 X+2  1  0  1  1
 0  0  1  0  0  1  3  2  3 X+1  1  0  1 X+2  1  1 X+3  X  1 X+1  2  3  X X+1  2
 0  0  0  1 X+1  2 X+3 X+1 X+1  X  1  2 X+1  X  2  1 X+2  1 X+1 X+1  3  2  1 X+3  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  2  0

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+247x^20+456x^21+704x^22+884x^23+1210x^24+1216x^25+1250x^26+856x^27+712x^28+344x^29+204x^30+84x^31+21x^32+2x^34+1x^36

The gray image is a code over GF(2) with n=100, k=13 and d=40.
This code was found by Heurico 1.16 in 0.769 seconds.