The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+52x^15+77x^16+32x^17+32x^18+40x^19+16x^20+4x^23+2x^24

The gray image is a code over GF(2) with n=68, k=8 and d=30.
This code was found by Heurico 1.13 in 0.015 seconds.