The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 a^2*X X 1 1 a*X 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 0 1 1 1 1 1 X 1 1 1 1 1 0 1 1 1 a^2*X 0 1 1 1 1 0 a*X a^2*X 1 a^2*X X 1 a^2*X 1 1 1 1 1 1 1 0 1 1 1 1 1 a*X X 1 1 1 1 1 1 0 1 1 1 1 1 1 X a*X a^2*X 0 1 0 0 X a^2*X 1 a^2*X+a a^2 a^2*X+1 a*X+1 a*X+a X+1 X+a 1 1 a^2*X+a^2 a*X+a^2 1 a^2*X+a a^2 a^2*X a*X+a a*X+a^2 0 a^2*X 1 a^2*X+1 a*X+a a^2*X+a a^2*X+a^2 a*X+a X+a^2 X a*X+1 X+1 a^2*X+a^2 X+a a*X+a^2 1 a^2*X+1 1 X X+1 X+1 1 a a^2*X 1 1 X a*X a^2*X+1 a^2*X a*X+a^2 1 1 1 a^2*X+a^2 a*X 1 X+1 1 X+a a^2 a^2*X+a^2 a^2*X+a 0 a*X+a a*X 1 a a a^2*X+a 1 1 1 1 a^2*X+a 1 a*X+a^2 X 0 X+a^2 1 a^2*X X+1 a*X+a a^2*X+a^2 a*X+a a*X+1 X 1 1 0 0 1 1 a^2*X+a a^2 X+a^2 a^2*X+a^2 a*X+a^2 X+a 1 a*X+a X a^2*X a^2*X+a^2 a*X+a a*X a X+1 X+1 a^2*X+1 1 a^2*X+1 a*X+1 X a a^2*X+1 a*X X+a^2 X+a a^2*X+a^2 0 a*X 1 X+a X+1 X a^2*X+a a*X+a a X+1 a^2 a^2 a*X a*X+1 a^2*X a^2*X+1 a^2*X a X+a 1 a^2*X X+a^2 X+a^2 a*X+a a^2*X+1 a^2 a^2*X a^2*X+1 1 a*X+a a^2 X X a^2*X+a a 1 a^2*X+a X+a a^2*X+a^2 1 X+a a*X+a^2 X+a^2 X+a^2 a X+a a*X+a^2 a^2*X+1 1 0 X+1 a^2*X+a^2 a*X+a^2 0 0 a*X a^2*X+a^2 a*X+a a^2*X+a^2 a 1 a*X+1 X+1 0 0 0 a^2*X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a^2*X a^2*X a*X a*X a*X a*X a^2*X a^2*X a*X X X a*X a^2*X a^2*X X a*X a*X X a*X a^2*X a*X X a*X a^2*X X a^2*X a*X X X a^2*X a^2*X a*X a^2*X a^2*X a*X X X a^2*X X X a^2*X X X a^2*X a^2*X a^2*X a*X a^2*X a*X 0 a*X X a^2*X a*X a^2*X a*X X a*X a*X a*X X a*X X X a^2*X a*X X a^2*X a^2*X a^2*X X a*X a*X a*X a^2*X generates a code of length 94 over F4[X]/(X^2) who´s minimum homogenous weight is 270. Homogenous weight enumerator: w(x)=1x^0+732x^270+708x^271+153x^272+1944x^274+1128x^275+237x^276+1728x^278+1224x^279+168x^280+1512x^282+1140x^283+177x^284+1080x^286+804x^287+81x^288+900x^290+480x^291+105x^292+636x^294+432x^295+72x^296+444x^298+132x^299+3x^300+192x^302+96x^303+21x^304+48x^306+6x^308 The gray image is a linear code over GF(4) with n=376, k=7 and d=270. This code was found by Heurico 1.16 in 2.43 seconds.