The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^60+4x^61+132x^62+44x^63+147x^64+80x^65+144x^66+80x^67+136x^68+44x^69+78x^70+4x^71+51x^72+12x^74+7x^76+2x^78+5x^80+1x^116

The gray image is a code over GF(2) with n=264, k=10 and d=120.
This code was found by Heurico 1.16 in 0.238 seconds.