The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+118x^22+236x^23+289x^24+304x^25+272x^26+260x^27+203x^28+188x^29+98x^30+32x^31+34x^32+4x^33+8x^34+1x^36

The gray image is a code over GF(2) with n=104, k=11 and d=44.
This code was found by Heurico 1.16 in 0.0624 seconds.