The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+4x^64+142x^65+11x^66+44x^67+11x^68+30x^69+5x^70+8x^71

The gray image is a code over GF(2) with n=528, k=8 and d=256.
This code was found by Heurico 1.16 in 0.25 seconds.