The generator matrix

 1  0  1  1  1  0  1  1 X+2  X  1  1  0  1  1  X  1
 0  1  1  0 X+1  1  X X+3  1  2  X  1  1  3 X+1  0  0
 0  0  X X+2  0 X+2  X X+2  0  X  X  X  2  0  0  0  0
 0  0  0  2  0  0  0  0  2  0  2  0  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  2  2  0  2  0  2  0  2
 0  0  0  0  0  2  0  0  0  2  2  2  0  0  2  2  2
 0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  0  0
 0  0  0  0  0  0  0  2  2  2  0  0  2  2  0  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+21x^10+40x^11+130x^12+148x^13+792x^14+464x^15+2121x^16+732x^17+2138x^18+488x^19+804x^20+140x^21+112x^22+32x^23+14x^24+4x^25+9x^26+2x^28

The gray image is a code over GF(2) with n=68, k=13 and d=20.
This code was found by Heurico 1.16 in 0.267 seconds.