The generator matrix

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

generates a code of length 63 over F4[X]/(X^2) who´s minimum homogenous weight is 182.

Homogenous weight enumerator: w(x)=1x^0+564x^182+492x^183+99x^184+684x^186+408x^187+72x^188+384x^190+312x^191+27x^192+312x^194+120x^195+24x^196+216x^198+108x^199+6x^200+84x^202+96x^203+24x^204+60x^206+3x^216

The gray image is a linear code over GF(4) with n=252, k=6 and d=182.
This code was found by Heurico 1.16 in 27.5 seconds.