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 0 1 1 1 0 1 1 1 1 1 1 1 a^2*X 1 0 X 1 1 a^2*X X 1 1 1 1 1 a^2*X 1 0 1 1 1 1 a*X 1 1 X 1 1 1 1 1 a*X 1 1 1 1 1 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 1 a^2*X a 0 X a^2*X+1 1 X a^2*X 1 X a^2*X+a^2 1 a*X+a 1 1 a*X+a a 1 X a^2 X 0 a^2*X+1 a^2*X+a^2 1 a*X+a^2 1 a*X+1 a^2*X+a^2 a^2 X+a 1 a^2*X X+a 1 X+1 a*X+a^2 a^2*X+a^2 a^2*X+a 1 1 1 a*X+1 a*X+1 X a*X+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^2*X a^2*X a^2*X+1 X+1 1 a*X+a a^2*X a^2*X+a^2 a*X a^2 a a^2*X+a^2 X+a^2 X+a a*X a*X+a a*X a^2 a^2*X+1 1 a^2*X+a X a^2*X+a X+a^2 a^2*X+1 a^2*X X a^2*X+a a*X+1 a*X+a^2 X+a^2 X+a^2 a^2*X+a^2 X 1 a*X+a^2 a^2*X a*X+1 1 a^2*X a^2*X+a 1 a^2*X a a^2*X+1 a^2 X 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*X X X X a*X X a^2*X a*X X X X a^2*X a*X a^2*X a^2*X X a*X a*X a*X X X a^2*X 0 a^2*X X X a*X a^2*X a^2*X a^2*X X a^2*X a^2*X 0 0 X 0 0 a*X a*X X X a*X a^2*X 0 X 0 generates a code of length 91 over F4[X]/(X^2) who´s minimum homogenous weight is 261. Homogenous weight enumerator: w(x)=1x^0+576x^261+1056x^262+186x^264+1008x^265+1932x^266+228x^268+1320x^269+1800x^270+234x^272+972x^273+1380x^274+93x^276+816x^277+1176x^278+126x^280+648x^281+780x^282+66x^284+360x^285+672x^286+69x^288+348x^289+324x^290+21x^292+96x^293+96x^294 The gray image is a linear code over GF(4) with n=364, k=7 and d=261. This code was found by Heurico 1.16 in 4.3 seconds.