The generator matrix

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

generates a code of length 67 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+142x^65+64x^66+122x^67+22x^68+146x^69+4x^70+6x^71+1x^72+4x^82

The gray image is a code over GF(2) with n=536, k=9 and d=260.
This code was found by Heurico 1.16 in 44.1 seconds.