The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+50x^17+142x^18+124x^19+143x^20+50x^21+1x^26+1x^30

The gray image is a code over GF(2) with n=152, k=9 and d=68.
This code was found by Heurico 1.16 in -1.01e-007 seconds.