The generator matrix

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

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+214x^12+250x^13+612x^14+1012x^15+1211x^16+1582x^17+1240x^18+1016x^19+610x^20+214x^21+196x^22+20x^23+12x^24+2x^25

The gray image is a code over GF(2) with n=68, k=13 and d=24.
This code was found by Heurico 1.13 in 0.447 seconds.