The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 X 1 X 1 X 4X 4X 3X 1 1 1 1 0 0 1 1 2 4 3 3X+1 0 2 1 3 3X+4 0 1 3X+1 3 3X+4 2 3X+1 1 0 3X+4 2 X+2 3 2X+2 X X 1 3X+1 1 3X+4 1 1 1 1 X+1 2X+1 4X X+2 1 0 0 3X 0 0 0 0 X 2X 3X 2X 2X 4X 2X 2X 2X 3X 4X 4X 0 4X 3X 3X 4X 3X 0 4X 0 4X 4X 0 4X 3X X 2X 2X 3X 4X 3X X 2X 0 0 0 X 0 X 3X 3X 0 2X 2X X X 4X 0 2X 3X 2X X 2X 4X 0 0 2X 3X 2X 2X 2X X X X 0 3X 3X X 0 4X 4X 4X 2X 2X 0 0 0 0 3X 3X 2X 4X 4X X 4X 2X 2X X 3X 3X X 2X 0 2X 2X X 4X X 2X 2X 0 4X 2X X 4X X 4X 0 2X 0 4X X 2X 3X 0 generates a code of length 41 over Z5[X]/(X^2) who´s minimum homogenous weight is 145. Homogenous weight enumerator: w(x)=1x^0+380x^145+60x^146+20x^148+100x^149+1004x^150+1380x^151+320x^153+600x^154+1876x^155+4080x^156+1920x^158+2600x^159+2856x^160+10380x^161+5120x^163+5100x^164+4272x^165+13680x^166+5120x^168+4100x^169+3352x^170+7920x^171+1336x^175+284x^180+164x^185+88x^190+8x^195+4x^200 The gray image is a linear code over GF(5) with n=205, k=7 and d=145. This code was found by Heurico 1.16 in 8.6 seconds.