The generator matrix

 1  0  0  1  1  1  X  1  1  1  2  1  2  0 X+2 X+2  X
 0  1  0  1 X+2 X+3  1  2  0 X+1  1 X+3  1 X+2  1  1  2
 0  0  1  1 X+3 X+2  1  X X+1 X+1  X  X  1  1 X+1 X+1  X
 0  0  0  2  0  0  0  0  0  2  2  0  2  2  0  2  0
 0  0  0  0  2  0  0  0  2  0  2  0  2  2  0  0  2
 0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2
 0  0  0  0  0  0  2  2  2  2  2  2  0  2  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+211x^12+64x^13+848x^14+512x^15+2069x^16+896x^17+1856x^18+512x^19+1018x^20+64x^21+112x^22+26x^24+3x^28

The gray image is a code over GF(2) with n=68, k=13 and d=24.
This code was found by Heurico 1.16 in 0.432 seconds.