The generator matrix

 1  1  1  1  1  1  1  1  1  X  0  1  1  1  X  X  1
 0  X  0  X  0  0  X X+2  2  2  2  0  X X+2  X X+2  0
 0  0  X  X  0 X+2  X  2  0  X  X  0 X+2  2 X+2  0  0
 0  0  0  2  0  0  2  0  0  2  0  2  0  2  2  0  0
 0  0  0  0  2  0  0  0  2  2  0  2  2  2  0  0  0
 0  0  0  0  0  2  2  2  2  0  2  0  0  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+39x^12+32x^13+51x^14+128x^15+175x^16+192x^17+147x^18+128x^19+64x^20+32x^21+25x^22+8x^24+1x^26+1x^28

The gray image is a code over GF(2) with n=68, k=10 and d=24.
This code was found by Heurico 1.16 in 0.0127 seconds.