The generator matrix

 1  0  0  1  1  1 2X  1 2X  1 3X  2  1  1 3X+2  1  1  1  1
 0  1  0  0 2X+3  1  1 2X 3X+2 2X+1  1  1  1 X+3  1 X+2 3X 2X+2  X
 0  0  1 X+1 X+3  2 X+3 3X+2  1  3  3 3X+2  X X+3  2 3X+3 X+2  1  0
 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+2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+386x^16+964x^17+1694x^18+2220x^19+1630x^20+860x^21+344x^22+52x^23+39x^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 0.188 seconds.