The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 3X 1 3X 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 X 1 1 1 1 1 1 1 0 1 0 1 3X 2 X+2 1 3X+3 X+1 3X+1 2X+1 3X+4 1 4 1 3X+3 1 4X X+3 4X+2 3 0 4X+2 X 4 2X+4 3X 2X+1 3X 3X+1 2 3X+2 1 X+2 X+1 2X+2 2X+2 1 2X+4 1 3X+1 4X+3 4X+3 3X+2 4 0 0 1 3 3X+1 X+3 3X+2 4 3X+4 3X+1 3X 4X+2 X X+1 X+1 X+4 2X+1 4X+2 X+4 X 2X+4 3 X+3 2X+1 2X 2X+2 2X 4X+1 1 2X 4X 2X+2 3X+3 3X+2 2X+4 2X+3 3X+3 2X+2 0 X+2 X+2 3X 2X+1 2X+3 4X+3 4X+1 0 0 0 3X 0 3X 3X 4X 4X 2X X 3X 4X 2X 4X X X 4X X X X 0 4X 0 2X 0 3X 2X 4X X 0 X 2X 0 2X 4X 0 2X X X 0 2X 2X X 4X 3X generates a code of length 46 over Z5[X]/(X^2) who´s minimum homogenous weight is 170. Homogenous weight enumerator: w(x)=1x^0+1084x^170+1380x^171+500x^172+860x^173+4212x^175+4360x^176+1120x^177+1720x^178+6816x^180+7140x^181+2040x^182+3080x^183+8548x^185+9820x^186+2560x^187+3240x^188+7684x^190+6600x^191+1280x^192+1100x^193+2192x^195+700x^196+48x^200+20x^205+8x^210+12x^215 The gray image is a linear code over GF(5) with n=230, k=7 and d=170. This code was found by Heurico 1.16 in 6.93 seconds.