The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^13+202x^14+444x^15+685x^16+1358x^17+729x^18+400x^19+152x^20+54x^21+20x^22+4x^23+2x^24+2x^25+1x^26

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 0.047 seconds.