The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+208x^19+963x^20+1910x^21+3133x^22+3794x^23+3567x^24+1768x^25+726x^26+216x^27+53x^28+34x^29+5x^30+6x^31

The gray image is a code over GF(2) with n=184, k=14 and d=76.
This code was found by Heurico 1.16 in 1.86 seconds.