The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1 X+2  2  1  X  1  0  X  2  2 X+2  1  1  1  2
 0  1  0  0  0  2  1  3  1 X+2  1 X+3  1  1  X  0  2  1  1  1  X  1  0  1 X+2  0
 0  0  1  0  0  1  3  2  1  1 X+1  X  0 X+3 X+2  1 X+1  1 X+1  3  1  2  X X+2  1  X
 0  0  0  1 X+1 X+1  2 X+3 X+3  X  1  0 X+1  2  3 X+3  X  X  0  1  3  0  3  X  0  1
 0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  2  2  0  0  0  0  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+288x^21+457x^22+706x^23+878x^24+1190x^25+1180x^26+1174x^27+916x^28+734x^29+350x^30+230x^31+45x^32+26x^33+12x^34+2x^35+2x^37+1x^38

The gray image is a code over GF(2) with n=104, k=13 and d=42.
This code was found by Heurico 1.13 in 82.4 seconds.