The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2+2  1  1 X+2  1  X  1  1  1  X  1
 0  1 X+1 X^2+X X^2+1  1 X^2+2 X^2+X+3  1 X+2  3  1  0 X^2+2 X+2 X^2+X  0 X^2  2
 0  0  2  0  2  0  0  2  0  0  2  0  2  2  0  2  0  2  2
 0  0  0  2  2  2  2  2  2  0  0  0  2  2  2  2  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+16x^16+128x^17+310x^18+136x^19+296x^20+112x^21+8x^22+8x^23+6x^24+2x^26+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 -6.48e-008 seconds.