The generator matrix

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

generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+104x^62+96x^63+231x^64+136x^65+116x^66+80x^67+74x^68+16x^69+48x^70+48x^71+18x^72+8x^73+20x^74+8x^76+16x^78+2x^80+2x^84

The gray image is a code over GF(2) with n=264, k=10 and d=124.
This code was found by Heurico 1.16 in 0.177 seconds.