The generator matrix

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

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+94x^16+256x^17+400x^18+512x^19+464x^20+256x^21+48x^22+16x^24+1x^32

The gray image is a code over GF(2) with n=152, k=11 and d=64.
This code was found by Heurico 1.16 in 0.047 seconds.