The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+52x^20+100x^21+222x^22+252x^23+595x^24+408x^25+837x^26+440x^27+587x^28+244x^29+205x^30+76x^31+40x^32+16x^33+15x^34+5x^36+1x^38

The gray image is a code over GF(2) with n=104, k=12 and d=40.
This code was found by Heurico 1.16 in 0.24 seconds.