The generator matrix

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

generates a code of length 66 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+344x^63+316x^64+408x^65+181x^66+240x^67+217x^68+168x^69+42x^70+96x^71+9x^72+16x^73+8x^79+1x^84+1x^90

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 0.203 seconds.