The generator matrix

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

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+23x^18+80x^19+21x^20+1x^22+2x^28

The gray image is a code over GF(2) with n=152, k=7 and d=72.
This code was found by Heurico 1.16 in 3.62e-008 seconds.