The generator matrix

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

generates a code of length 19 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+78x^18+96x^19+78x^20+2x^22+1x^32

The gray image is a code over GF(2) with n=152, k=8 and d=72.
This code was found by Heurico 1.16 in 3.81e-009 seconds.