The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+178x^17+213x^18+312x^19+142x^20+124x^21+26x^22+24x^23+1x^24+2x^25+1x^26

The gray image is a code over GF(2) with n=152, k=10 and d=68.
This code was found by Heurico 1.16 in 1.88 seconds.