The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  X  0  1  X  2  1  0  X  X  X  X  1
 0  X  0  X  0  0  X X+2  0  2 X+2  X  2 X+2  X  0  X  X  0  2 X+2  X  0  2  2
 0  0  X  X  0 X+2  X  0  2  X  0  X  X  0  0  2  X X+2  2  X  2 X+2 X+2  X  X
 0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  2  0  0  2  0  2  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  0  2  2  0  0  2  2  2  2  2  2
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  0  2  0  2  0  2  2  0  0
 0  0  0  0  0  0  2  0  2  2  2  2  0  2  0  0  0  2  0  0  0  2  2  2  2
 0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  0  2  2  0  2  2  2  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+47x^18+90x^19+132x^20+206x^21+312x^22+434x^23+535x^24+566x^25+532x^26+462x^27+326x^28+234x^29+118x^30+38x^31+23x^32+18x^33+13x^34+6x^36+2x^38+1x^40

The gray image is a code over GF(2) with n=100, k=12 and d=36.
This code was found by Heurico 1.16 in 0.32 seconds.