The generator matrix

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

generates a code of length 27 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+38x^23+283x^24+444x^25+1011x^26+604x^27+987x^28+408x^29+259x^30+24x^31+8x^32+12x^33+9x^34+4x^35+1x^36+1x^38+2x^39

The gray image is a code over GF(2) with n=216, k=12 and d=92.
This code was found by Heurico 1.16 in 0.079 seconds.