The generator matrix

 1  0  1  1  1 3X+2  1  1 2X+2  1  1 2X  1  1  X  1  1  2  1 X+2  1  1  1 3X  1  1  1  1  1 2X 3X+2  1 2X 2X+2  1  1  X 3X+2  0  X  0  2  2  0  1  1 3X  1  1  1  1  1  X  1  1 3X  1  1  1 2X  1  1  1  X  1  1
 0  1 X+1 3X+2  3  1 2X X+3  1 2X+2 X+1  1  X 2X+1  1  2 3X+3  1 X+2  1 2X+3  1 3X  1 3X+3 2X+1 X+1 2X+1 2X  1  1 3X+2  1  1 2X 3X  1  1  X  1  1  1  1  1  2  0  1 3X 3X 2X  2 3X+2 2X+2  X  2  1 X+1 3X+1 X+2  1  1  3 3X  1 X+3 2X
 0  0  2  2 2X  2 2X+2 2X+2 2X 2X  0 2X+2  2 2X  2 2X+2  0 2X+2  0  0  2 2X+2 2X 2X  0 2X 2X+2  2 2X+2 2X+2  2  2 2X  0 2X  0  2  0  0 2X  2 2X+2  2 2X 2X+2 2X  0  0  2  2  0 2X+2 2X+2 2X  2 2X+2 2X  2  0  0 2X+2  0 2X+2 2X+2  2 2X
 0  0  0 2X  0  0  0 2X 2X 2X 2X 2X  0 2X 2X 2X  0  0  0  0  0 2X 2X 2X 2X  0  0 2X 2X  0 2X  0  0 2X  0 2X  0 2X 2X  0  0 2X 2X 2X  0 2X  0  0 2X  0 2X 2X  0  0 2X  0  0 2X 2X 2X  0 2X  0 2X 2X 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+64x^62+262x^63+360x^64+270x^65+271x^66+242x^67+188x^68+226x^69+109x^70+22x^71+26x^72+2x^74+2x^79+1x^80+1x^82+1x^94

The gray image is a code over GF(2) with n=528, k=11 and d=248.
This code was found by Heurico 1.16 in 0.313 seconds.