The generator matrix

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

generates a code of length 64 over F4[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+279x^180+564x^181+96x^182+576x^183+1134x^184+912x^185+156x^186+756x^187+1311x^188+1152x^189+132x^190+888x^191+1230x^192+912x^193+132x^194+756x^195+1119x^196+876x^197+180x^198+540x^199+804x^200+552x^201+48x^202+264x^203+369x^204+288x^205+24x^206+60x^207+135x^208+120x^209+18x^212

The gray image is a linear code over GF(4) with n=256, k=7 and d=180.
This code was found by Heurico 1.16 in 1.15 seconds.