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 X+2 X+2  1  1
 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  X  0  0
 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 X+1  1  0 X+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 X+3  2  3 X+2
 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+269x^20+420x^21+736x^22+872x^23+1148x^24+1264x^25+1244x^26+888x^27+699x^28+364x^29+208x^30+32x^31+42x^32+4x^34+1x^40

The gray image is a code over GF(2) with n=100, k=13 and d=40.
This code was found by Heurico 1.13 in 0.355 seconds.