The generator matrix

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

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+27x^16+272x^18+151x^20+48x^22+12x^24+1x^36

The gray image is a code over GF(2) with n=152, k=9 and d=64.
This code was found by Heurico 1.16 in 6.87e-008 seconds.