The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1  1  1  X  1  1  X  1
 0 X^2+2  0  0  2 X^2+2 X^2+2 X^2  0  2 X^2  0 X^2  0 X^2+2  2  2  0 X^2
 0  0 X^2+2  0 X^2+2 X^2+2 X^2  2  0 X^2  0 X^2  2 X^2+2 X^2+2  0  2 X^2+2 X^2+2
 0  0  0 X^2+2 X^2  2 X^2 X^2  2  2 X^2 X^2 X^2+2 X^2+2 X^2 X^2 X^2  0 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+82x^16+48x^17+48x^18+672x^19+72x^20+48x^21+16x^22+36x^24+1x^32

The gray image is a code over GF(2) with n=152, k=10 and d=64.
This code was found by Heurico 1.16 in 0.016 seconds.