The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+59x^12+80x^13+78x^14+176x^15+371x^16+514x^17+380x^18+184x^19+79x^20+60x^21+51x^22+8x^23+2x^24+2x^25+2x^26+1x^30

The gray image is a code over GF(2) with n=68, k=11 and d=24.
This code was found by Heurico 1.16 in 0.0423 seconds.