The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X  0  X  1  1  1  X  2
 0  X  0  0  0  X X+2  X  0  2  2  X X+2  X X+2  2  2  X  2  X X+2  X X+2  X  0
 0  0  X  0  X  X X+2  0  0  0  X  X X+2 X+2  2  X X+2  2  X X+2  0  X  2  2  X
 0  0  0  X  X  0 X+2  X  2  X  2  0 X+2  0  0  0 X+2 X+2  0  X X+2  X  X X+2  X
 0  0  0  0  2  0  0  0  2  2  2  2  2  0  2  2  2  0  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  0  0  2  0  2  2  2  2  2  0  0  2  0  2  2  0  2  0
 0  0  0  0  0  0  2  0  2  0  0  2  2  0  0  2  2  2  0  2  0  2  2  0  2
 0  0  0  0  0  0  0  2  0  0  2  0  2  2  0  2  0  2  2  0  2  2  0  0  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+154x^18+530x^20+96x^21+934x^22+512x^23+1426x^24+832x^25+1474x^26+512x^27+999x^28+96x^29+482x^30+109x^32+28x^34+6x^36+1x^44

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 5.03 seconds.