The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1 a^2*X a^2*X  1  1  1  1  0 a^2*X  1 a*X  1 a*X  X  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1 a^2*X  1  1  1
 0  1  0  0  0 a^2*X  1 a^2*X+a a^2 a^2*X+1 a^2*X+1  a a^2*X+a^2 a^2  1  1 a^2*X+a  1 a^2*X+a^2  a  1  1 a*X+a^2 a^2*X  0  1  1  a X+1 a^2*X X+a a*X+1 a^2*X+1  0 a^2*X+a^2 X+a a^2*X+a^2  X a^2*X a^2  1 a^2*X+1  1  X a*X+a a^2 a^2*X+1 X+a^2  X X+a^2 X+1 X+a  X  X X+a^2 X+a  1 a^2*X+a a^2 X+a^2  1  a  1  X  1  a
 0  0  1  1  a a^2  1 X+1  1  a  0  X a*X+a a^2 X+1 a^2 X+a^2 a^2  0 X+a  a  0 a*X+1  1 X+a X+1 a*X+a^2 a^2 a^2*X  a X+a  1 a^2*X+a^2 X+a^2 a^2 a*X+1 a^2*X  X  1 a^2*X+a a*X X+1 X+a  1 a^2*X  a  1 a*X+a a^2 a*X+1  a X+a^2 a*X+1 a^2*X+a^2 X+1  a a*X+a X+1 a^2*X+a^2 a^2*X+a  a a*X+1 a*X+1 X+a  0 a^2*X+a^2
 0  0  0 a^2*X  0  0  0  X  X  X a^2*X a*X a*X a*X a*X a^2*X a^2*X  X a^2*X a*X  X a*X a^2*X a^2*X  X a*X  0  X a*X a*X  X a*X  0  X  0  0  0 a^2*X a^2*X  0  X  0 a^2*X  0  0 a^2*X a^2*X  X  0  X a*X a*X a*X a*X  0  X a^2*X a^2*X  0 a*X  0  X  0 a*X  X a*X
 0  0  0  0  X a^2*X a*X  X a^2*X a*X a*X  X  0 a*X  X a*X  X a^2*X  X a*X  0  0 a^2*X  X  X a*X  X a*X a^2*X a^2*X  0  0  0  0 a*X  0 a^2*X  0 a*X a^2*X  X a^2*X  0 a^2*X  X  X  0 a*X  0  X  X a^2*X  X a^2*X  X  X a^2*X a^2*X  X a^2*X  0 a^2*X  X  0  0  X

generates a code of length 66 over F4[X]/(X^2) who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+120x^181+420x^182+312x^183+678x^184+636x^185+2052x^186+924x^187+990x^188+1392x^189+3672x^190+2124x^191+1554x^192+1872x^193+5676x^194+2028x^195+1761x^196+2652x^197+6276x^198+2340x^199+2130x^200+2544x^201+6492x^202+2484x^203+1599x^204+1896x^205+4272x^206+1524x^207+1125x^208+960x^209+1620x^210+516x^211+219x^212+180x^213+240x^214+36x^215+96x^216+36x^217+15x^220+33x^224+12x^228+12x^232+12x^236+3x^240

The gray image is a linear code over GF(4) with n=264, k=8 and d=181.
This code was found by Heurico 1.16 in 19.4 seconds.