The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+327x^62+490x^63+647x^64+406x^65+603x^66+426x^67+439x^68+318x^69+218x^70+68x^71+92x^72+12x^73+34x^74+8x^75+4x^76+1x^82+1x^84+1x^86

The gray image is a code over GF(2) with n=528, k=12 and d=248.
This code was found by Heurico 1.16 in 0.437 seconds.