The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1 X+2  2  1  X  1  0  1 X+2  1  1  2  X X+2  1
 0  1  0  0  0  2  1  3  1 X+2  1 X+3  1  1  X  0  2  1  X  1  2  2  1  1 X+2  1
 0  0  1  0  0  1  3  2  1  1 X+1  X  0 X+3 X+2  1 X+1  1 X+2  2  0  X  X X+3  1  0
 0  0  0  1 X+1 X+1  2 X+3 X+3  X  1  0 X+1  2  3 X+3  X  X X+1  1 X+2  0  3  0 X+2  X
 0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  2  0  2  0  0  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+276x^21+457x^22+768x^23+829x^24+1206x^25+1053x^26+1358x^27+824x^28+768x^29+339x^30+204x^31+73x^32+22x^33+7x^34+6x^35+1x^40

The gray image is a code over GF(2) with n=104, k=13 and d=42.
This code was found by Heurico 1.16 in 78.1 seconds.