The generator matrix

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

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+428x^62+312x^63+702x^64+344x^65+670x^66+328x^67+628x^68+264x^69+280x^70+32x^71+74x^72+18x^74+8x^78+1x^80+4x^82+2x^88

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 77.2 seconds.