The generator matrix

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

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+62x^20+230x^21+412x^22+594x^23+477x^24+576x^25+540x^26+536x^27+332x^28+214x^29+80x^30+18x^31+16x^32+4x^33+4x^35

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 0.188 seconds.