The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X
 0  2  0  0  0  0  0  0  0  0  2  2  0  0  2  2  2
 0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  0
 0  0  0  2  0  0  0  0  0  2  0  2  2  2  0  2  0
 0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  0  2
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0
 0  0  0  0  0  0  2  0  2  2  2  0  0  0  0  2  2
 0  0  0  0  0  0  0  2  2  2  0  0  2  0  2  2  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+76x^12+40x^14+165x^16+512x^17+80x^18+108x^20+8x^22+34x^24

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 0.0359 seconds.