The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+56x^13+190x^14+418x^15+907x^16+986x^17+904x^18+396x^19+144x^20+60x^21+26x^22+2x^23+4x^24+2x^25

The gray image is a code over GF(2) with n=136, k=12 and d=52.
This code was found by Heurico 1.16 in 0.063 seconds.