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

generates a code of length 62 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+158x^60+96x^61+88x^62+117x^64+32x^65+8x^66+6x^68+2x^72+4x^76

The gray image is a code over GF(2) with n=496, k=9 and d=240.
This code was found by Heurico 1.16 in 0.219 seconds.