The generator matrix

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

generates a code of length 94 over F4[X]/(X^2) who´s minimum homogenous weight is 260.

Homogenous weight enumerator: w(x)=1x^0+399x^260+576x^261+660x^262+1152x^263+2262x^264+2304x^265+2748x^266+2916x^267+4296x^268+4344x^269+4524x^270+4848x^271+7476x^272+6984x^273+6840x^274+6732x^275+9876x^276+9612x^277+9288x^278+8748x^279+12771x^280+11628x^281+11160x^282+9480x^283+14412x^284+12456x^285+10740x^286+9156x^287+12627x^288+10140x^289+8676x^290+7224x^291+8586x^292+6108x^293+4812x^294+3588x^295+3777x^296+2724x^297+1668x^298+1284x^299+1062x^300+600x^301+312x^302+156x^303+186x^304+108x^305+12x^306+12x^307+45x^308+24x^312+3x^316+3x^320+6x^324+6x^328+3x^332+3x^336

The gray image is a linear code over GF(4) with n=376, k=9 and d=260.
This code was found by Heurico 1.16 in 432 seconds.