The generator matrix

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

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+90x^21+233x^22+440x^23+470x^24+484x^25+639x^26+592x^27+508x^28+306x^29+151x^30+104x^31+45x^32+32x^33+1x^34

The gray image is a code over GF(2) with n=104, k=12 and d=42.
This code was found by Heurico 1.11 in 0.0944 seconds.