The generator matrix

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

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+84x^21+294x^22+356x^23+476x^24+448x^25+772x^26+512x^27+492x^28+292x^29+230x^30+84x^31+35x^32+8x^33+8x^35+4x^36

The gray image is a code over GF(2) with n=104, k=12 and d=42.
This code was found by Heurico 1.16 in 0.221 seconds.