The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+164x^14+1548x^15+4786x^16+14204x^17+26710x^18+35992x^19+27026x^20+14424x^21+4576x^22+1372x^23+216x^24+44x^25+6x^26+2x^28+1x^32

The gray image is a code over GF(2) with n=152, k=17 and d=56.
This code was found by Heurico 1.16 in 28 seconds.