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

generates a code of length 61 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+124x^59+106x^60+116x^61+60x^62+36x^63+19x^64+44x^65+2x^66+2x^68+2x^74

The gray image is a code over GF(2) with n=488, k=9 and d=236.
This code was found by Heurico 1.16 in 1.47 seconds.