The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+23x^64+136x^65+24x^66+8x^68+52x^69+8x^70+4x^77

The gray image is a code over GF(2) with n=264, k=8 and d=128.
This code was found by Heurico 1.16 in 0.123 seconds.