The generator matrix

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

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+132x^22+180x^23+380x^24+208x^25+348x^26+228x^27+236x^28+124x^29+136x^30+24x^31+39x^32+4x^33+8x^34

The gray image is a code over GF(2) with n=104, k=11 and d=44.
This code was found by Heurico 1.11 in 0.0278 seconds.