The generator matrix

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

generates a code of length 17 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+116x^15+301x^16+288x^17+160x^18+104x^19+48x^20+4x^23+2x^24

The gray image is a code over GF(2) with n=136, k=10 and d=60.
This code was found by Heurico 1.16 in 3.62e-008 seconds.