The generator matrix

 1  0  1  1  1  0  1  1  0  1  1 X+2  2  1  1  0  X  1  1  1  1  1  X  2  1  1
 0  1  1  0  1  1  0 X+1  1  0  1  1  1 X+2  3  1  1  2 X+1  1  3 X+1 X+2  1 X+3  0
 0  0  X  0  0  0  0  0 X+2  X  2  X  2  X X+2 X+2 X+2  X  2 X+2 X+2 X+2 X+2  0  X  0
 0  0  0  X  0  0  X  0  2  X  X X+2 X+2  0  2  X X+2  X X+2  X  X  2  0 X+2  X  0
 0  0  0  0  X X+2  X  0  X  2  0  0  0  X X+2  2 X+2  X  X  X  2 X+2 X+2 X+2 X+2  0
 0  0  0  0  0  2  0  0  0  0  0  2  2  0  2  2  2  0  2  2  0  0  2  0  0  0
 0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  2  2  2  2  0  2  0  2  2  0  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+66x^18+84x^19+258x^20+308x^21+813x^22+1206x^23+1765x^24+2530x^25+2268x^26+2470x^27+1980x^28+1186x^29+762x^30+322x^31+205x^32+70x^33+58x^34+14x^35+10x^36+2x^37+1x^38+5x^40

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 3.6 seconds.