The generator matrix

 1  0  0  1  1  1 X^2+X+2  0  1 X+2  2  1  1  1  1 X^2  0  1  1
 0  1  0  1  X X^2+X+1  1  1 X^2  0  1 X^2  3 X^2+X+2 X+3  1  X X^2 X^2+1
 0  0  1  1  1  0  1  2 X+1  1 X^2+1  X X^2+X  X X+1 X+2 X^2 X^2+X+2  2
 0  0  0  X  2 X+2 X^2+X  X  X X+2 X^2 X^2+X+2  0 X^2  2 X+2 X+2 X^2+2 X^2+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+448x^15+1375x^16+3544x^17+6810x^18+8336x^19+6920x^20+3680x^21+1188x^22+368x^23+84x^24+8x^25+2x^26+4x^28

The gray image is a code over GF(2) with n=152, k=15 and d=60.
This code was found by Heurico 1.16 in 60.4 seconds.