The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+151x^18+475x^20+136x^21+801x^22+488x^23+1606x^24+784x^25+1667x^26+528x^27+924x^28+104x^29+350x^30+8x^31+129x^32+37x^34+1x^36+1x^38+1x^42

The gray image is a code over GF(2) with n=100, k=13 and d=36.
This code was found by Heurico 1.16 in 1.34 seconds.