The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+272x^63+389x^64+412x^65+189x^66+274x^67+196x^68+160x^69+42x^70+30x^71+45x^72+28x^73+4x^77+4x^79+1x^86+1x^92

The gray image is a code over GF(2) with n=528, k=11 and d=252.
This code was found by Heurico 1.16 in 0.204 seconds.