The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+192x^11+858x^12+1846x^13+4455x^14+7448x^15+11468x^16+12786x^17+11757x^18+7408x^19+4509x^20+1898x^21+681x^22+152x^23+59x^24+14x^25+3x^26+1x^28

The gray image is a code over GF(2) with n=68, k=16 and d=22.
This code was found by Heurico 1.13 in 6.89 seconds.