The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+122x^21+187x^22+426x^23+370x^24+748x^25+472x^26+736x^27+308x^28+394x^29+160x^30+114x^31+25x^32+16x^33+12x^34+4x^35+1x^38

The gray image is a code over GF(2) with n=104, k=12 and d=42.
This code was found by Heurico 1.16 in 0.595 seconds.