The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+40x^21+99x^22+212x^23+200x^24+394x^25+200x^26+394x^27+170x^28+196x^29+72x^30+32x^31+11x^32+10x^33+12x^34+2x^35+2x^36+1x^38

The gray image is a code over GF(2) with n=104, k=11 and d=42.
This code was found by Heurico 1.16 in 0.101 seconds.