The generator matrix 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 4X 1 1 1 1 0 1 1 2 4 3 3X+1 0 2 3X+4 1 3 1 3 2 3X+4 0 X+3 3X+1 1 0 2 3 X 3X+1 3X+4 3X+1 3X+4 1 4X+1 3X+1 X+1 X+4 X+2 2X 0 X+1 1 2X+2 X+1 X 0 0 0 3X 0 0 0 0 X X 3X 3X X 2X 2X X X 0 3X 4X 2X X 2X 0 3X X 2X X 2X 2X 0 4X 3X 4X 3X 2X X X 4X 2X 3X 4X 0 0 0 0 X 0 X 3X 3X 2X X 3X 3X 3X X 0 4X X 0 X 4X 3X 3X 3X 3X 2X 2X 4X 2X 2X 0 X 4X 0 3X X 4X 3X 0 0 2X 4X 0 0 0 0 0 3X 3X 2X 3X 4X 0 4X X 3X 2X 3X X 2X X X 4X 4X X 3X 4X X 3X 2X 0 4X 0 0 4X 4X 3X 4X 3X 2X 2X 0 0 X 0 generates a code of length 42 over Z5[X]/(X^2) who´s minimum homogenous weight is 145. Homogenous weight enumerator: w(x)=1x^0+72x^145+80x^147+296x^150+360x^152+600x^153+800x^154+428x^155+1000x^157+1780x^158+2800x^159+388x^160+1900x^162+4780x^163+9300x^164+432x^165+3500x^167+8980x^168+14800x^169+352x^170+3520x^172+7580x^173+9800x^174+368x^175+2140x^177+1280x^178+288x^180+252x^185+148x^190+76x^195+20x^200+4x^205 The gray image is a linear code over GF(5) with n=210, k=7 and d=145. This code was found by Heurico 1.16 in 6.97 seconds.