The generator matrix

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

generates a code of length 19 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+40x^14+52x^15+105x^16+372x^17+1152x^18+680x^19+1128x^20+392x^21+72x^22+36x^23+46x^24+4x^25+16x^26

The gray image is a code over GF(2) with n=152, k=12 and d=56.
This code was found by Heurico 1.16 in 0.046 seconds.