The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+54x^60+614x^61+1058x^62+1826x^63+1748x^64+2312x^65+1822x^66+2264x^67+1365x^68+1452x^69+810x^70+550x^71+225x^72+156x^73+52x^74+32x^75+14x^76+10x^77+17x^78+1x^84+1x^86

The gray image is a code over GF(2) with n=528, k=14 and d=240.
This code was found by Heurico 1.16 in 2.98 seconds.