The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  X  0  1  1  X  0  1  1  1  2  1  0  2  1
 0  1  1  0 X+1  1 X+3  0  1  2  3  1  1  X  1  1  1 X+1  0  2  2 X+3  1  1  0
 0  0  X  0  0  0  0  X  X X+2 X+2  2  0  2  0  X X+2  0  X  2  X  X X+2 X+2  0
 0  0  0  X  0 X+2 X+2  X  2  2  X  X  2 X+2  X  0 X+2  2  X X+2  0  2  X  0  0
 0  0  0  0  2  0  0  2  2  0  0  2  2  2  2  2  0  2  0  0  2  2  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  2  0  0  2  2  2  2  0  2  2  2  2  0  2  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+25x^18+110x^19+178x^20+356x^21+620x^22+914x^23+1231x^24+1320x^25+1238x^26+946x^27+602x^28+356x^29+156x^30+78x^31+31x^32+16x^33+9x^34+4x^36+1x^40

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 0.992 seconds.