The generator matrix
1 1 1 1 1 1 1 1 1 1 X 1 1 0 1 X 1
0 X 0 X+2 2 3X+2 2X+2 X 0 2X 3X+2 2X+2 X+2 X 2X+2 3X+2 0
0 0 2X+2 0 2 2 2X 2 0 2 2 0 2X 2X 2 2X+2 0
0 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 0 2X 0
generates a code of length 17 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 14.
Homogenous weight enumerator: w(x)=1x^0+64x^14+88x^15+168x^16+400x^17+152x^18+88x^19+51x^20+8x^22+3x^24+1x^28
The gray image is a code over GF(2) with n=136, k=10 and d=56.
This code was found by Heurico 1.16 in 0.016 seconds.