The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  1  X  1  2  1  X  1 X+2  1 X+2  0  1  1
 0  1  0  0  1  2  3  1  0  X  3 X+1  3  1  X  1 X+3  1 X+1  1 X+3  1  1  0  0
 0  0  1  0  1  3  2  3  X  1  0 X+1 X+2  1  2  X X+1  X  3  1  0 X+1 X+1 X+2  1
 0  0  0  1  2  1  3  3 X+1  X X+2  1  0  X  2 X+1 X+3  3 X+2  0  1  0 X+2 X+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+67x^20+248x^21+408x^22+510x^23+541x^24+552x^25+594x^26+524x^27+341x^28+168x^29+84x^30+38x^31+10x^32+8x^33+2x^34

The gray image is a code over GF(2) with n=100, k=12 and d=40.
This code was found by Heurico 1.11 in 0.0888 seconds.