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

generates a code of length 61 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+7x^58+32x^59+120x^60+704x^61+120x^62+32x^63+7x^64+1x^122

The gray image is a code over GF(2) with n=488, k=10 and d=232.
This code was found by Heurico 1.16 in 0.265 seconds.