The generator matrix

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

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+494x^16+512x^17+384x^18+1024x^19+928x^20+512x^21+128x^22+112x^24+1x^32

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 0.062 seconds.