The generator matrix

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

generates a code of length 65 over F4[X]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+210x^180+84x^182+336x^183+657x^184+396x^186+840x^187+1167x^188+360x^190+1008x^191+1209x^192+792x^194+1440x^195+1347x^196+804x^198+1536x^199+1377x^200+540x^202+792x^203+804x^204+96x^206+192x^207+246x^208+45x^212+42x^216+12x^220+18x^224+9x^228+18x^232+3x^236+3x^244

The gray image is a linear code over GF(4) with n=260, k=7 and d=180.
This code was found by Heurico 1.16 in 1.46 seconds.