The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  2  1  1  X  X  1  2  1  1  1  0  1  0  1  1  2  1  0  X  X X+2  0 X+2  0  X  X  X  X  X  X  X  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  X X+2  1  1  1  1  X  1
 0  1  0  0  1  1  1  X  2  3  1  1  2  3  0 X+2  1  1  2  0  3  1  1  1  0  3  1  2  X  2  X  X X+2  2 X+2  1  1  1  1  1  1  1  1  X X+2 X+1 X+3  X X+2 X+1 X+3 X+1 X+3  X X+2 X+2  X  2  2 X+2 X+1 X+3  X X+2  2  0
 0  0  1  1  2  3  1  1  X X+2  X X+3 X+1 X+3  1  1  X  1  3 X+2  1 X+2 X+1  2 X+3  0 X+3  2  1  1  1  1  1  1  1  0  1  0  3 X+1 X+3  X  X  0  1 X+2 X+3 X+2 X+3 X+3 X+2  3  2  1  0 X+2 X+3  1  1  1  2  3  0  1  2  0
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  2  0  2  2  0  2  2  0  0  2  0  2  0  2  2  0  2  0  2  0  0  2  0  2  0  2  2  0  0  0  2  2  0  0  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+108x^62+136x^63+225x^64+116x^65+96x^66+44x^67+96x^68+20x^69+34x^70+36x^71+56x^72+24x^73+4x^74+8x^75+14x^78+6x^80

The gray image is a code over GF(2) with n=264, k=10 and d=124.
This code was found by Heurico 1.11 in 0.14 seconds.