The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+134x^16+490x^17+957x^18+1134x^19+758x^20+358x^21+186x^22+66x^23+11x^24+1x^26

The gray image is a code over GF(2) with n=152, k=12 and d=64.
This code was found by Heurico 1.16 in 0.047 seconds.