The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+55x^8+32x^10+480x^12+128x^13+662x^14+384x^15+1847x^16+1024x^17+1832x^18+384x^19+656x^20+128x^21+500x^22+33x^24+40x^26+6x^30

The gray image is a code over GF(2) with n=68, k=13 and d=16.
This code was found by Heurico 1.16 in 0.119 seconds.