The generator matrix

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

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+118x^14+288x^15+283x^16+192x^17+100x^18+32x^19+4x^20+6x^22

The gray image is a code over GF(2) with n=128, k=10 and d=56.
This code was found by Heurico 1.16 in -3.24e-008 seconds.