The generator matrix

 1  0  0  0  1  1  1  X X+2  1  1  1 X+2  0  1  0  2  1  1  0  2  1  1  X  1  1  0 X+2  1  1  1  1 X+2  2  1  1 X+2  1  1  X  1  0 X+2  1  0  1  2  1  1  0  1  2  1  1  1  2  1  1  0  X  1  1  1  2  1  1
 0  1  0  0  X  0 X+2 X+2  1  3  3  3  1  1 X+1 X+2  1 X+3  2  1  1  0 X+1  1 X+3  0  1  X X+1  0 X+3 X+2  0  1  1  3  2  2 X+2 X+2  1  X  X X+2  1  1  1 X+2 X+2  1  0  1  0 X+1  X  1 X+3 X+2  2  0 X+3 X+3  2  X  X  2
 0  0  1  0  X  1 X+3  1  3 X+2  3  2  0 X+3  1  1  0  0  X  1  X  X X+3 X+3  1 X+3  0 X+2  2 X+1  0  1  1 X+2 X+1  1  1  0  3  1 X+2  1  2 X+3 X+2 X+3 X+1 X+3  X X+3  2  1  2 X+3 X+3 X+2  X  0  1  0  2  3  X  1 X+2  2
 0  0  0  1 X+1  1  X X+3  0  2  0 X+3 X+3 X+1  3  0 X+2 X+2 X+2  0  1 X+3 X+1  3  2  1  1  1 X+3  X  2 X+1  X  X X+3 X+2  3  X  2  3  X X+2  1  0 X+3  0  2  3  1 X+1 X+3  1 X+2  X X+1 X+1 X+1 X+2 X+3  1  3  3  1 X+3  0  2
 0  0  0  0  2  0  2  2  2  2  0  0  2  0  2  0  0  2  0  2  2  2  2  0  0  0  2  0  2  0  0  2  2  2  0  2  2  2  0  2  0  0  0  2  0  0  2  2  0  2  0  0  2  0  2  2  0  0  2  2  2  0  0  0  2  2
 0  0  0  0  0  2  2  2  2  0  2  0  0  2  2  2  2  2  2  0  2  2  0  0  0  0  0  2  2  0  2  2  2  0  0  2  0  2  2  0  0  2  0  2  2  0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  0  0  2  2  2  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+245x^58+440x^59+836x^60+844x^61+1284x^62+1036x^63+1484x^64+1344x^65+1661x^66+1232x^67+1466x^68+1092x^69+1246x^70+684x^71+566x^72+344x^73+298x^74+128x^75+82x^76+24x^77+29x^78+9x^80+4x^82+4x^84+1x^86

The gray image is a code over GF(2) with n=264, k=14 and d=116.
This code was found by Heurico 1.16 in 12 seconds.