The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1 X+2  1  1  1  0  1  1  2  1  1  X  1  X
 0  1  1 X+2 X+3  1  0 X+1  1  X  1  3  1 X+3  2  2  1 X+1 X+1  1  0  0  1  1  0
 0  0  X  0 X+2  0 X+2  2 X+2 X+2  X  2  2  X X+2 X+2  2  0  0  X  0  0 X+2 X+2  2
 0  0  0  2  0  0  0  2  0  0  2  0  2  2  0  0  2  0  2  0  2  0  2  2  0
 0  0  0  0  2  0  0  0  2  2  0  2  2  0  2  0  0  0  0  0  2  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  0  2  2  2  2  2
 0  0  0  0  0  0  2  0  0  2  0  0  0  0  2  2  0  2  2  2  2  2  2  0  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+230x^20+64x^21+388x^22+256x^23+996x^24+384x^25+764x^26+256x^27+516x^28+64x^29+124x^30+43x^32+4x^34+6x^36

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 2.44 seconds.