The generator matrix
1 0 1 1 1 2 1 1 1 X 1 0 1 1 0 1 1
0 1 1 0 X+1 1 1 0 2 1 X+1 1 X X+3 1 1 3
0 0 X 0 0 2 0 X+2 X+2 2 X X+2 2 0 X X X+2
0 0 0 X 2 X X+2 X+2 2 X+2 X+2 X+2 X X+2 2 X 0
generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 14.
Homogenous weight enumerator: w(x)=1x^0+124x^14+112x^15+209x^16+160x^17+194x^18+112x^19+88x^20+16x^22+6x^24+2x^26
The gray image is a code over GF(2) with n=68, k=10 and d=28.
This code was found by Heurico 1.16 in 0.0336 seconds.