The generator matrix

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

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+102x^23+237x^24+714x^25+382x^26+1212x^27+491x^28+684x^29+124x^30+86x^31+34x^32+10x^33+6x^34+8x^35+5x^36

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 3.28 seconds.