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

generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+20x^58+70x^59+99x^60+90x^61+180x^62+66x^63+291x^64+58x^65+357x^66+48x^67+354x^68+48x^69+112x^70+52x^71+63x^72+28x^73+30x^74+18x^75+19x^76+30x^77+4x^78+2x^79+4x^80+2x^81+1x^82+1x^104

The gray image is a code over GF(2) with n=264, k=11 and d=116.
This code was found by Heurico 1.16 in 0.481 seconds.