The generator matrix

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

generates a code of length 27 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+70x^21+260x^22+406x^23+675x^24+946x^25+1111x^26+1264x^27+1158x^28+950x^29+634x^30+382x^31+206x^32+62x^33+43x^34+12x^35+8x^36+4x^37

The gray image is a code over GF(2) with n=108, k=13 and d=42.
This code was found by Heurico 1.16 in 0.957 seconds.