The generator matrix
1 0 1 1 1 0 X+2 1 1 1 1 X 1 1 X 0 1
0 1 1 X+2 X+3 1 1 2 X+1 X+3 X 1 0 2 2 0 0
0 0 X 0 X+2 X+2 2 X 0 X+2 X X 0 X X X 0
0 0 0 2 0 0 2 0 2 2 0 0 2 0 0 2 0
0 0 0 0 2 0 0 2 2 0 0 2 0 2 0 2 0
0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0
generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+45x^12+62x^13+184x^14+198x^15+412x^16+260x^17+418x^18+180x^19+171x^20+62x^21+36x^22+6x^23+11x^24+2x^26
The gray image is a code over GF(2) with n=68, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0288 seconds.