The generator matrix 1 0 1 1 1 1 1 1 1 0 1 X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 2X 1 1 4X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 3X+4 3 0 3X+1 2 1 3X+1 1 X 3X+4 3 X X+2 4X+4 X+3 2X+1 X+2 4X+4 X+3 1 3X 2X+1 3X+3 2X+2 2X+4 1 4X+2 4 1 2X 2X 3X+1 1 2X+3 2X+3 3X 3X+3 2X+1 2X X+1 2X+3 X 1 3X+3 3X 0 0 3X 2X X 0 4X 2X X 2X 4X X 3X 0 2X X 4X 2X 3X X 0 3X 4X 4X 2X 0 X 0 X 4X X 2X 2X 0 4X 3X X 2X 0 3X 3X 2X X 4X 4X 4X 4X 4X X generates a code of length 49 over Z5[X]/(X^2) who´s minimum homogenous weight is 190. Homogenous weight enumerator: w(x)=1x^0+52x^190+400x^191+1060x^192+28x^195+360x^196+340x^197+16x^200+80x^201+540x^202+12x^205+160x^206+60x^207+12x^215+4x^230 The gray image is a linear code over GF(5) with n=245, k=5 and d=190. This code was found by Heurico 1.16 in 0.0254 seconds.