The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+38x^13+597x^14+2766x^15+9602x^16+27380x^17+54910x^18+71074x^19+55474x^20+27766x^21+9337x^22+2426x^23+619x^24+128x^25+20x^26+6x^27

The gray image is a code over GF(2) with n=152, k=18 and d=52.
This code was found by Heurico 1.16 in 99 seconds.