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 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 X 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 2X 4X X X 2X 2X 2X 4X 3X 4X 2X 3X 2X 2X 2X 3X 4X 4X 4X 0 3X X X X 3X 3X 4X 2X 2X X 0 2X 4X X 4X 0 0 0 X 3X 4X 3X 4X X 2X 0 3X 3X X X 2X 4X 3X 0 2X 4X X X 4X X 2X 4X 3X 4X 0 X 4X X X 4X 4X 0 0 X 2X 0 X 0 4X 0 0 0 0 X 0 0 0 0 0 X X X 3X 4X 0 4X X 4X X 4X 4X X 3X 0 4X 2X 2X 4X 0 X X X 2X 4X X 3X 3X 0 X 2X X 3X 0 X 3X 0 4X 0 3X 3X 0 X 4X X 4X 3X 4X 0 2X 2X X X 4X 4X 2X 3X 0 4X 0 2X 0 0 2X 2X 0 X X 4X X 4X X 3X 2X 0 4X X X 4X 0 3X 0 0 2X 4X 2X 0 0 0 X 0 0 X X 3X 4X 2X 3X 3X X X X 2X 4X 2X 4X X 4X 2X 0 3X 0 3X 0 2X X 2X 2X 4X 4X 0 4X X 3X 0 X 4X 4X 4X 0 2X 4X 2X 0 4X 0 3X 4X 2X 3X X 4X 3X 0 4X 4X X 3X 3X 4X 2X 0 0 4X 0 2X 4X X 0 2X 2X X 0 2X X 2X 3X 0 X 0 3X X 0 4X 4X 3X 4X 2X 2X 0 0 0 0 0 X 0 3X 2X 3X X 3X 3X 3X X X 4X 4X 4X 0 2X 0 0 X 4X 0 X 0 0 X 3X 4X X X 0 2X X 2X X X 4X 0 4X 3X 0 0 3X X X 2X X 4X 0 3X 4X X 4X 0 3X 4X 3X 2X 4X 4X X 2X X 3X 4X X X 3X X 3X 4X 4X 2X X 0 X 3X 0 0 0 3X 2X X X 4X 0 4X 4X 2X 2X 3X 0 0 0 0 0 X 3X X 4X 3X 2X 0 2X 0 3X 3X 0 X 4X 4X X 0 4X 3X 0 X 4X 2X 4X 4X 3X 4X 2X 3X 2X 0 2X X 2X 3X 3X 2X X 4X X 4X X X 3X 3X 2X 0 2X 0 4X 3X 2X 0 2X 3X 3X 2X 4X 4X 0 3X 0 X 0 4X 4X 4X X 0 X 0 3X 2X 4X 4X 3X 3X 2X 3X 0 0 X 4X 3X X X 2X X 3X generates a code of length 94 over Z5[X]/(X^2) who´s minimum homogenous weight is 340. Homogenous weight enumerator: w(x)=1x^0+268x^340+680x^345+976x^350+1204x^355+80x^357+1248x^360+1000x^362+1216x^365+5200x^367+1380x^370+15100x^372+1372x^375+24800x^377+1404x^380+16320x^382+1348x^385+1188x^390+1020x^395+864x^400+616x^405+396x^410+224x^415+160x^420+32x^425+16x^430+8x^435+4x^440 The gray image is a linear code over GF(5) with n=470, k=7 and d=340. This code was found by Heurico 1.16 in 40.6 seconds.