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  X  1  0  1  1  1  1  X  1  1  1  1  0  1  X  0  1  X  1  1  0  1  X  1  0  1  0  1  X  1
 0  X  0 X+2  0 X+2  0 X+2  2 X+2  0 X+2  X  0  2 X+2  0 X+2  X  2 X+2  0  2 X+2  X X+2  X  X  0  2  0  2  0 X+2 X+2  X X+2  X  X X+2  X  0  0 X+2  2  2  2  0  X  0 X+2  X  0 X+2  X X+2  X  2 X+2  2  X  2  2  2 X+2 X+2
 0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  0  2  0  2  2  2  0  0  0  2  2  0  0  0  2  2  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  0  0  0  2  0  2  0  2  2  2  0  2  0  0  2  0  0  2  0  2
 0  0  0  2  0  0  0  0  0  0  2  2  0  2  0  2  2  0  2  0  2  2  0  0  2  0  2  2  0  0  0  0  0  0  2  2  0  0  0  2  2  0  2  0  2  2  0  2  2  2  0  2  2  2  2  0  2  0  0  0  0  2  2  0  2  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  0  2  2  2  2  2  0  2  0  2  2  0  2  0  0  2  2  0  0  2  0  2  2  0  2  0  2  2  2  2  0  0  2  0  0  2  2  0  2  0  0  0  0  0  2  2  2  2  0  0  2
 0  0  0  0  0  2  0  0  0  2  0  0  2  0  0  2  2  0  2  2  0  2  2  0  2  2  0  2  0  2  2  0  0  2  0  2  0  2  0  0  0  2  2  0  2  2  2  0  2  2  2  2  0  0  2  0  0  0  2  2  2  2  0  2  0  0
 0  0  0  0  0  0  2  0  2  0  2  0  0  0  2  0  0  2  2  0  2  2  2  2  0  0  2  2  0  2  2  0  2  2  2  2  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  0  2  2  2  2  2  0  0  0  2  0  0  0  0  2
 0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  2  0  0  0  2  2  0  2  2  2  0  0  0  2  0  0  2  2  2  0  2  0  2  0  2  0  0  2  2  0  0  2  0  0  0  0  2  0  2  2  0  0  2  2  2  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 58.

Homogenous weight enumerator: w(x)=1x^0+83x^58+115x^60+40x^61+203x^62+80x^63+269x^64+120x^65+258x^66+160x^67+234x^68+88x^69+163x^70+16x^71+118x^72+8x^73+47x^74+26x^76+9x^78+2x^80+4x^82+1x^86+2x^88+1x^108

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 4.81 seconds.