The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  1  1  0  1  0  1  1  1  0  2  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0  2 X+2 X+1  1 X+1  1 X+2 X+1 X+3  1  1  0  0
 0  0  2  0  0  0  0  2  0  2  2  2  0  0  2  2  2  0  0  0  2  2  0  0  0  2
 0  0  0  2  0  0  2  2  0  2  0  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2
 0  0  0  0  2  0  2  0  2  2  2  2  0  2  0  2  0  2  0  0  0  0  2  2  2  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  2  0  2  0  0  2  0  2  0  2  0  0  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+105x^22+258x^24+308x^26+246x^28+94x^30+5x^32+4x^34+2x^36+1x^38

The gray image is a code over GF(2) with n=104, k=10 and d=44.
This code was found by Heurico 1.16 in 14.4 seconds.