The generator matrix

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

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+245x^16+384x^17+904x^18+1024x^19+956x^20+384x^21+152x^22+42x^24+4x^28

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 45 seconds.