The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  X  1
 0  X  0 X+2  0 X+2  2 X+2  0 X+2  0 X+2  0 X+2  2  X  2  X  0 X+2  2  2  X  2  2 X+2
 0  0  2  0  0  0  2  0  0  0  2  2  0  2  2  2  0  2  0  0  0  2  2  2  0  2
 0  0  0  2  0  0  0  2  0  0  2  2  2  2  0  0  0  0  2  0  2  0  2  2  2  2
 0  0  0  0  2  0  2  0  0  2  0  2  2  0  2  2  2  0  0  2  2  0  2  0  0  0
 0  0  0  0  0  2  0  2  2  2  0  0  2  2  2  2  2  0  2  0  2  2  0  2  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+54x^22+38x^24+128x^25+90x^26+128x^27+16x^28+42x^30+8x^32+6x^34+1x^48

The gray image is a code over GF(2) with n=104, k=9 and d=44.
This code was found by Heurico 1.16 in 0.666 seconds.