The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^13+629x^14+2630x^15+9742x^16+26996x^17+55954x^18+70034x^19+55914x^20+27390x^21+9729x^22+2322x^23+615x^24+112x^25+24x^26+6x^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 104 seconds.