The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+139x^16+454x^17+992x^18+1176x^19+717x^20+318x^21+223x^22+68x^23+7x^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.