The generator matrix

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

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+30x^21+66x^22+82x^23+102x^24+152x^25+197x^26+144x^27+76x^28+70x^29+50x^30+26x^31+13x^32+4x^33+6x^34+4x^35+1x^42

The gray image is a code over GF(2) with n=104, k=10 and d=42.
This code was found by Heurico 1.16 in 0.0366 seconds.