The generator matrix

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

generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+78x^61+103x^62+66x^63+87x^64+52x^65+37x^66+38x^67+7x^68+14x^69+16x^70+6x^71+3x^74+2x^75+1x^84+1x^86

The gray image is a code over GF(2) with n=256, k=9 and d=122.
This code was found by Heurico 1.16 in 1.44 seconds.