The generator matrix

 1  1  1  1  1  1  1  1  1  X  0  X  1  1  1  1  1
 0  X  0 X+2  0 X+2  0 X+2  2 X+2  X X+2 X+2  0  0  2  0
 0  0  2  0  0  0  0  0  2  0  2  2  0  0  2  2  0
 0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  0
 0  0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  0
 0  0  0  0  0  2  0  2  0  2  2  0  0  2  0  2  0
 0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  2  2

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+58x^12+56x^14+64x^15+281x^16+128x^17+240x^18+64x^19+92x^20+24x^22+14x^24+2x^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 0.012 seconds.