The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+398x^16+908x^17+1806x^18+2084x^19+1750x^20+788x^21+360x^22+60x^23+35x^24+2x^26

The gray image is a code over GF(2) with n=152, k=13 and d=64.
This code was found by Heurico 1.16 in 0.156 seconds.