The generator matrix

 1  0  0  0  0  1  1  1  1 X+2 X+2  X  1  1  1  X  1
 0  1  0  0  0  0  3 X+1  3  1 X+2  2 X+1 X+2  2  0  0
 0  0  1  0  0  1  1  X  0  1  1  1  3 X+2 X+1  0  0
 0  0  0  1  0  1  2  0 X+1 X+1  X X+3 X+1  2 X+2  0  0
 0  0  0  0  1  1 X+2  1  X X+1 X+3  1 X+3 X+1  0  0  0
 0  0  0  0  0  X  0  2 X+2  X X+2  0  2  X  2 X+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+196x^10+812x^11+1903x^12+4740x^13+9002x^14+15908x^15+20676x^16+24580x^17+20553x^18+16052x^19+9093x^20+4748x^21+1857x^22+700x^23+199x^24+44x^25+7x^26+1x^30

The gray image is a code over GF(2) with n=68, k=17 and d=20.
This code was found by Heurico 1.13 in 21.4 seconds.