The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+16x^10+44x^11+118x^12+124x^13+318x^14+476x^15+572x^16+748x^17+566x^18+484x^19+322x^20+148x^21+122x^22+20x^23+10x^24+4x^25+2x^26+1x^32

The gray image is a code over GF(2) with n=68, k=12 and d=20.
This code was found by Heurico 1.16 in 0.0854 seconds.