The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  0  1  1  X  1  1  1  X
 0  X  0 X^2+X X^2 X^2+X+2 X^2+2  X  0  2 X^2+X  X X^2+2 X^2+2 X^2+X+2  X X^2+X X+2  2
 0  0 X^2+2  0 X^2 X^2  2 X^2  0 X^2  0  2 X^2  0 X^2+2 X^2+2 X^2  2 X^2
 0  0  0  2  2  0  2  2  2  2  0  0  0  0  2  0  2  2  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+54x^16+64x^17+280x^18+256x^19+248x^20+64x^21+40x^22+16x^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 -1.01e-007 seconds.