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 X 1 1 1 1 X 1 1 1 1 1 1 1 1 X X 1 1 1 X 1 1 X 1 X 1 1 X 1 1 X 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 X 2X X X 4X X 2X 2X 3X 4X 4X 3X 2X X 3X 2X 2X 0 X 2X 4X X X 2X 2X 3X 4X 0 3X 0 4X 3X 4X 2X X 4X X 4X 4X 4X X 0 2X 4X 2X 0 0 3X 4X 0 2X 3X 0 X X 0 4X X 0 X 2X 4X X 0 X 3X 2X 3X X 2X 4X 4X 4X X 4X 2X 2X 3X 0 0 0 X 0 0 0 0 X X X 2X 4X 3X 0 4X 3X X X 4X 2X 0 4X 0 3X 4X 3X X X 2X 4X 3X 4X 3X 4X 0 2X 2X X 4X 2X 2X X X 0 0 4X 0 2X 3X 4X 2X 2X 4X 0 0 X 3X X 0 X 2X 0 X X 2X 2X 4X X 0 3X X 2X 2X 2X 3X 2X X 2X 4X 0 0 X 4X 3X 4X X 3X X 4X 2X 0 0 0 0 X 0 0 X 3X 3X 4X 2X 0 2X 3X X 3X 2X 0 4X 0 0 2X 0 3X 3X X 2X 4X 0 2X 4X X 4X X X 4X 0 X 4X X 4X 3X 4X 3X 2X 3X 4X 4X 0 0 0 4X 0 X 3X 4X X 0 3X 0 0 2X 2X X 4X 3X 4X 2X 3X 4X X X X 0 4X 0 3X 3X 3X 3X 4X X X 3X 3X 3X 3X 4X 2X 3X 0 0 0 0 0 X 0 3X 2X X 3X 0 4X 3X 4X 4X 2X 4X 4X 0 0 3X 2X X 2X 0 3X X 4X 0 0 2X X 2X 2X 2X 2X X 2X 2X 2X X 3X 4X 0 X 3X 4X 3X 4X 0 X X 4X 3X X 0 4X X 3X 0 2X 2X 2X 2X 4X 3X 2X X 0 0 2X 3X X 2X X X 3X X 3X 2X 0 2X 2X X X 2X 2X 2X 2X 2X X 0 0 0 0 0 X 3X X 3X 0 3X 4X 2X 2X 2X 0 0 X 4X X 4X 4X X 2X 0 2X 4X 3X 3X 2X 0 4X 4X X 0 2X 0 0 X 4X 3X X 4X X 0 4X 3X X 2X 4X X 4X 0 2X 3X 0 3X X 3X 3X X 0 X 4X 4X 3X 0 2X 4X 0 0 3X 0 4X X X 4X 4X 2X 3X 4X 4X 0 3X 4X 0 X 2X 4X X 3X generates a code of length 91 over Z5[X]/(X^2) who´s minimum homogenous weight is 325. Homogenous weight enumerator: w(x)=1x^0+64x^325+440x^330+732x^335+1008x^340+180x^343+1232x^345+1180x^348+1248x^350+4000x^353+1468x^355+10600x^358+1392x^360+19700x^363+1372x^365+18320x^368+1312x^370+8520x^373+1288x^375+1248x^380+904x^385+800x^390+580x^395+260x^400+140x^405+92x^410+20x^415+16x^420+4x^425+4x^430 The gray image is a linear code over GF(5) with n=455, k=7 and d=325. This code was found by Heurico 1.16 in 38.8 seconds.