The generator matrix

 1  0  1  1 X+2  1  1  1  2  1  1 3X  1  1  1  X  1  X  0
 0  1  1 X+2  1 3X+1 2X+3  2  1  X X+1  1  2 X+3 3X  X  3  2 2X
 0  0  X  0 2X  2 2X+2 3X  X  X 3X+2 X+2 X+2 3X 3X+2  X 2X  X  X
 0  0  0 2X 2X  0 2X  0 2X 2X 2X 2X  0 2X  0  0  0 2X 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+242x^16+544x^17+684x^18+1240x^19+626x^20+496x^21+200x^22+24x^23+35x^24+4x^26

The gray image is a code over GF(2) with n=152, k=12 and d=64.
This code was found by Heurico 1.16 in 0.234 seconds.