The generator matrix

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

generates a code of length 19 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+796x^15+2600x^16+7020x^17+13431x^18+17414x^19+14198x^20+7000x^21+2182x^22+776x^23+97x^24+12x^25+3x^26+6x^27

The gray image is a code over GF(2) with n=152, k=16 and d=60.
This code was found by Heurico 1.16 in 594 seconds.