The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+155x^18+492x^19+691x^20+918x^21+1172x^22+1286x^23+1269x^24+972x^25+648x^26+360x^27+149x^28+62x^29+8x^30+6x^31+2x^32+1x^34

The gray image is a code over GF(2) with n=92, k=13 and d=36.
This code was found by Heurico 1.16 in 0.647 seconds.