The generator matrix

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

generates a code of length 95 over F4[X]/(X^2) who´s minimum homogenous weight is 260.

Homogenous weight enumerator: w(x)=1x^0+105x^260+336x^264+381x^268+60x^271+462x^272+420x^275+345x^276+1560x^279+372x^280+3720x^283+309x^284+4332x^287+339x^288+2196x^291+291x^292+252x^296+201x^300+201x^304+153x^308+111x^312+96x^316+75x^320+24x^324+21x^328+9x^332+6x^336+3x^340+3x^356

The gray image is a linear code over GF(4) with n=380, k=7 and d=260.
This code was found by Heurico 1.16 in 4.61 seconds.