The generator matrix

 1  0  1  1  1  0  1  1  2  1  1 X+2  1  1  1  1  1
 0  1  1  0 X+1  1  0 X+1  1  X X+3  1  3  1 X+1  1  0
 0  0  X  0  X  0  X  0  X  X  0  X  X  0  2 X+2  0
 0  0  0  X  X X+2  X  0  0  0  X  X  X X+2  0  2  0
 0  0  0  0  2  0  0  0  0  2  0  2  2  2  0  0  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  0  2  2  0  2  2  0  0
 0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  2  2

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+47x^10+84x^11+166x^12+548x^13+636x^14+1940x^15+3213x^16+3012x^17+3266x^18+2012x^19+688x^20+524x^21+140x^22+60x^23+26x^24+12x^25+7x^26+2x^28

The gray image is a code over GF(2) with n=68, k=14 and d=20.
This code was found by Heurico 1.16 in 1.01 seconds.