The generator matrix

 1  0  0  0  1  1  1 X^2  1 X^2+2  1 X+2  1 X^2 X+2  1 X^2+X  0  1
 0  1  0  0  X  3 X^2+X+1  1 X^2+2  1  3 X^2 X^2+3  1 X^2+2 X^2+1  1  1  0
 0  0  1  0 X+1  1  X X+1 X^2+X+1 X^2 X^2+X+2  1  1 X^2+X+1 X+2 X^2+1 X^2 X^2+2  0
 0  0  0  1  1 X^2 X+1  1 X^2+X X+1 X^2+2  1  1 X^2+X+2  1 X+3 X^2+X+2 X^2+X+3  0
 0  0  0  0 X^2  2  0  2 X^2 X^2 X^2+2  0 X^2+2  0 X^2+2  0 X^2+2  2  2

generates a code of length 19 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+70x^13+697x^14+2780x^15+9233x^16+27488x^17+53801x^18+73546x^19+54544x^20+27430x^21+9099x^22+2672x^23+606x^24+148x^25+19x^26+10x^27

The gray image is a code over GF(2) with n=152, k=18 and d=52.
This code was found by Heurico 1.16 in 100 seconds.