The generator matrix

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

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+152x^18+8x^19+619x^20+344x^21+1440x^22+1496x^23+2873x^24+2448x^25+2950x^26+1496x^27+1517x^28+344x^29+516x^30+8x^31+134x^32+30x^34+8x^36

The gray image is a code over GF(2) with n=100, k=14 and d=36.
This code was found by Heurico 1.16 in 3.61 seconds.