The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+60x^18+88x^19+246x^20+418x^21+670x^22+1240x^23+1811x^24+2296x^25+2557x^26+2448x^27+1927x^28+1228x^29+654x^30+376x^31+186x^32+88x^33+58x^34+8x^35+19x^36+2x^37+2x^40+1x^42

The gray image is a code over GF(2) with n=104, k=14 and d=36.
This code was found by Heurico 1.16 in 3.73 seconds.