The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 X 1 1 1 1 1 1 1 4X 1 1 1 1 1 2X 1 1 1 1 X 1 1 1 4X 1 1 1 1 0 4X 1 1 1 4X 1 1 4X 1 1 1 0 1 2X 1 1 1 0 1 1 2 4 3 3X+1 0 2 1 3 3X+4 0 3X+1 3X+4 3 1 2 3 3X+1 1 2 0 3X+4 1 X+2 X 3X+4 3X+1 X+3 X+1 4X+4 1 4X+3 X X+2 X+4 2X+1 1 2X 0 X+2 2X+3 1 1 2 2X 1 4X+3 4X+3 3X+3 4X+2 1 1 X+2 4X+3 3X 1 2X+1 X+2 1 X+3 4 2X+2 1 4X+3 1 3X 3 0 0 0 3X 0 0 0 0 X 2X 3X 2X 3X 2X 4X 0 2X X 3X 2X 2X 3X X 2X 4X X 4X 2X 0 3X 4X 4X 3X 3X 4X 0 0 2X 4X X 0 2X 3X 3X X 4X 2X 0 X 3X X 0 4X 4X 0 4X 2X X 3X X 0 3X X X 0 X 2X 2X 3X 3X 0 0 0 0 X 0 X 3X 3X 0 2X 2X 4X 2X 2X 3X X 0 2X 2X 0 2X X 0 4X 3X 0 4X 2X 3X X X 0 0 X 2X 4X 2X X X 4X 4X 2X 2X 0 4X 0 3X X 3X 3X 3X 2X 3X 2X 3X X 0 2X 0 0 4X 2X X X 2X X 3X 3X X 0 0 0 0 0 3X 3X 2X 4X 4X X 4X 4X 2X 0 0 2X 3X 3X 3X 3X 2X 3X X 4X 0 0 4X 2X 0 4X 0 X 2X 2X 0 2X 2X 3X 4X X 2X 4X 0 X 2X 3X 4X 2X 0 0 3X 2X 3X 3X 4X 4X 4X 0 3X 2X 2X 4X 0 3X 3X X 4X X X 0 generates a code of length 70 over Z5[X]/(X^2) who´s minimum homogenous weight is 255. Homogenous weight enumerator: w(x)=1x^0+56x^255+20x^257+40x^259+480x^260+600x^262+80x^263+840x^264+1124x^265+1700x^267+780x^268+2200x^269+1664x^270+3240x^272+1580x^273+3900x^274+2820x^275+5040x^277+3780x^278+6600x^279+3328x^280+7020x^282+4180x^283+7360x^284+2976x^285+5640x^287+2100x^288+3560x^289+2072x^290+1740x^292+500x^294+592x^295+172x^300+112x^305+100x^310+44x^315+44x^320+32x^325+4x^330+4x^335 The gray image is a linear code over GF(5) with n=350, k=7 and d=255. This code was found by Heurico 1.16 in 12.5 seconds.