The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  1  0  1  1  1  1
 0  1  1  0  1  1 X+1  0  1  X  2  3  1  0  2  0  0
 0  0  X  0  0  0  0  X  2  X  X  X X+2  2  2  2  0
 0  0  0  X  0 X+2  X  X  2  0  X  2  0  X  0  0  0
 0  0  0  0  X  0  X  2 X+2  2  X X+2 X+2  X  X  2  0
 0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  2  0
 0  0  0  0  0  0  2  2  0  0  2  2  0  0  2  0  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+89x^10+88x^11+274x^12+406x^13+852x^14+1814x^15+2869x^16+3574x^17+2890x^18+1806x^19+876x^20+434x^21+252x^22+66x^23+74x^24+2x^25+13x^26+2x^27+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 1.28 seconds.