The generator matrix

 1  0  0  1  1  1  X  1  1  1  2 X+2  1  X  2 X+2  1 X+2  0  1  1  1  0  2  2  1
 0  1  0  1 X+2 X+3  1  0  0 X+1  1  1 X+3  X  X  0  X  1  1  3  X X+3  0  X  2  0
 0  0  1  1 X+3 X+2  1 X+2 X+1 X+1  X X+1  X  1  1  1  X  0 X+1  0  1  X  1  1  X  0
 0  0  0  2  0  0  0  0  0  2  2  2  0  2  0  2  2  0  0  0  2  2  0  2  2  0
 0  0  0  0  2  0  0  0  2  0  2  2  0  2  2  0  0  2  0  0  2  0  2  0  2  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  2  0  0  0  0  2  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  0  2  0  2  2  0  2  0
 0  0  0  0  0  0  0  2  2  2  2  0  2  2  0  0  2  2  2  0  2  2  2  0  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+31x^18+58x^19+280x^20+356x^21+927x^22+1124x^23+1980x^24+2028x^25+2742x^26+2064x^27+2085x^28+1148x^29+862x^30+332x^31+251x^32+52x^33+43x^34+6x^35+10x^36+3x^38+1x^44

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 2.66 seconds.