The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+112x^61+205x^62+500x^63+475x^64+572x^65+475x^66+562x^67+422x^68+442x^69+167x^70+80x^71+43x^72+22x^73+1x^74+2x^75+2x^77+4x^79+2x^81+4x^83+2x^84+1x^88

The gray image is a code over GF(2) with n=528, k=12 and d=244.
This code was found by Heurico 1.16 in 0.469 seconds.