The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  X  0  1  1  1
 0  X  0  0  0  0  0  0  2  2  X X+2  X X+2  2  0  2  2  X  X  2  X X+2  X  0
 0  0  X  0  0  0  0  0  0  0  0  0  2  2 X+2  X  X  X  X  X  2 X+2  2 X+2  X
 0  0  0  X  0  0  2 X+2  X  X  X  X X+2  2  0  X X+2  2  X  0 X+2  2  0  X  0
 0  0  0  0  X  0 X+2 X+2  X  2 X+2 X+2  0  X  X X+2  0 X+2  X X+2  2  0  0  2  2
 0  0  0  0  0  X  X  2 X+2  X X+2  2  2 X+2  0  2  0  0  0  X  0 X+2  X  2 X+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+146x^18+461x^20+678x^22+384x^23+1751x^24+1280x^25+1820x^26+384x^27+760x^28+366x^30+128x^32+30x^34+2x^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 1.38 seconds.