The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  0  1  1  1  1  1  1 X+2  1  1  1 X+2  1
 0  1  1  0 X+3  1  X X+3  1  1 X+2  1  1 X+3  0  3 X+1 X+1  2  1  3  X X+2  1 X+2
 0  0  X  0 X+2  0  0  2  2  0  0  2  0 X+2 X+2  X  2  X  0 X+2  0  X  2 X+2 X+2
 0  0  0  X  0  0 X+2 X+2 X+2  X  2 X+2  2  2  X  X  0  X  X  X  2  2  X  X  X
 0  0  0  0  2  0  2  0  0  2  0  2  2  2  2  2  2  2  0  2  2  0  2  0  2
 0  0  0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  2  2  0  0  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+159x^20+96x^21+444x^22+384x^23+714x^24+576x^25+656x^26+384x^27+424x^28+96x^29+108x^30+45x^32+8x^34+1x^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 0.246 seconds.