The generator matrix

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

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+125x^18+522x^19+1577x^20+2926x^21+6099x^22+9590x^23+15057x^24+18744x^25+21367x^26+18714x^27+15961x^28+9532x^29+5868x^30+2930x^31+1342x^32+472x^33+167x^34+52x^35+14x^36+6x^37+5x^38+1x^42

The gray image is a code over GF(2) with n=104, k=17 and d=36.
This code was found by Heurico 1.13 in 352 seconds.