The generator matrix

 1  0  0  1  1  1 X^2  1  1  1  1 X^2+X  1  1 X^2+2  1  1  1  1
 0  1  0  0 X^2+3  1  1  2  X  3 X^2+X+1  1 X^2+X X^2+2  1 X^2+X+1  3 X+3 X^2+3
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1 X^2+X+2  1 X^2+1 X^2  0  2 X^2+X X^2+X+2 X^2+3 X^2+X+3 X^2+X X+2
 0  0  0  2  2  0  2  0  0  2  2  2  2  2  0  0  0  0  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+298x^16+1264x^17+1312x^18+2532x^19+1303x^20+1132x^21+256x^22+60x^23+29x^24+4x^25+1x^28

The gray image is a code over GF(2) with n=152, k=13 and d=64.
This code was found by Heurico 1.16 in 0.921 seconds.