The generator matrix

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

generates a code of length 16 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+36x^14+176x^15+85x^16+176x^17+36x^18+2x^24

The gray image is a code over GF(2) with n=128, k=9 and d=56.
This code was found by Heurico 1.16 in -3.24e-008 seconds.