The generator matrix 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 X 1 1 1 3X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 4 3 3X+1 0 2 3X+4 3 1 0 3X+4 2 3 1 3X+1 2 3X+1 1 3 3X+4 0 1 X+3 X 3X+1 1 4X X+2 2X 3X+2 2X+3 3X+4 2X+2 2X+2 4X+4 4X 3X+4 X+3 2X 3 4X+3 0 0 0 0 3X 0 0 0 0 X 4X 3X 2X 3X 4X 2X 4X 2X 2X 2X 2X 3X 0 2X 4X 0 3X X 4X 0 4X 0 X 0 2X 2X 4X 2X 4X 4X 4X 3X 3X 3X 3X 4X 2X 0 0 0 0 X 0 X 3X 3X 4X 0 3X 3X 2X 4X X 0 X 2X 3X 3X 3X 0 2X 3X X 3X X 4X 2X 3X X X 4X X 2X 2X X 3X X X 0 X 3X 4X X 0 0 0 0 0 3X 3X 2X 4X 3X 3X 2X 2X 0 2X 0 4X 4X 2X 3X 3X 4X 0 2X 0 4X 0 X 3X X X 2X X 0 4X X 0 2X 3X 4X 2X X X 2X 0 4X 0 generates a code of length 46 over Z5[X]/(X^2) who´s minimum homogenous weight is 160. Homogenous weight enumerator: w(x)=1x^0+52x^160+620x^165+40x^166+100x^167+240x^168+80x^169+1172x^170+440x^171+780x^172+860x^173+680x^174+2748x^175+1340x^176+1480x^177+2260x^178+2480x^179+6168x^180+3440x^181+3880x^182+3660x^183+5180x^184+8292x^185+4640x^186+4180x^187+3760x^188+4080x^189+6916x^190+2600x^191+2080x^192+1720x^193+1584x^195+276x^200+152x^205+76x^210+44x^215+24x^220 The gray image is a linear code over GF(5) with n=230, k=7 and d=160. This code was found by Heurico 1.16 in 7.75 seconds.