The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X X^2  X
 0  X  0  X  2  0 X+2  X X^2+2 X^2+X  0 X+2 X^2+2 X^2+X  2  X X^2+X X^2+2 X^2+X
 0  0  X  X X^2 X^2+X X^2+X+2 X^2 X^2 X^2+X X+2 X^2+2  2  X X^2+X  0 X^2  0 X^2
 0  0  0 X^2  0  2 X^2+2  0 X^2  0 X^2+2 X^2 X^2  2 X^2 X^2 X^2  2 X^2

generates a code of length 19 over Z4[X]/(X^3+2,2X) 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.