The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2X+2) 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 0.016 seconds.