The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+164x^13+1274x^14+4318x^15+14272x^16+26870x^17+36996x^18+27324x^19+14308x^20+4096x^21+1218x^22+198x^23+26x^24+6x^25+1x^32

The gray image is a code over GF(2) with n=144, k=17 and d=52.
This code was found by Heurico 1.16 in 25.2 seconds.