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

generates a code of length 63 over F4[X]/(X^2) who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+180x^181+384x^182+192x^183+183x^184+624x^185+372x^186+120x^187+120x^188+408x^189+168x^190+120x^191+54x^192+228x^193+168x^194+84x^195+33x^196+168x^197+144x^198+48x^199+27x^200+60x^201+84x^202+12x^203+24x^204+60x^205+24x^206+3x^216+3x^220

The gray image is a linear code over GF(4) with n=252, k=6 and d=181.
This code was found by Heurico 1.16 in 0.078 seconds.