The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+31x^22+124x^23+174x^24+194x^25+81x^26+156x^27+102x^28+60x^29+39x^30+32x^31+11x^32+10x^33+9x^34

The gray image is a code over GF(2) with n=104, k=10 and d=44.
This code was found by Heurico 1.11 in 0.0103 seconds.