The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 X X 0 X 2X 4X 3X 4X 0 2X 4X 4X X 2X 2X X 3X 3X X 3X 4X 4X 0 2X 2X 2X 0 X X 4X 2X 2X 4X X 3X 3X 0 4X 3X 4X 0 0 X 0 3X 2X X 4X 0 X X X 3X 2X 0 2X 3X X 2X 4X 0 3X 2X 3X 4X 0 4X X 4X 4X 0 2X X 0 4X X 2X 4X 2X 2X 4X 2X 2X 4X 0 0 0 X 3X X 4X 3X 3X 3X 0 X X 0 3X X 2X 2X 3X 0 4X X 3X 0 4X 4X 0 X 4X X 4X 0 2X X 2X 3X 4X 2X 4X 3X 4X 2X 2X 4X generates a code of length 44 over Z5[X]/(X^2) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+152x^165+148x^170+116x^175+2500x^176+68x^180+40x^185+36x^190+16x^195+16x^200+20x^205+8x^210+4x^220 The gray image is a linear code over GF(5) with n=220, k=5 and d=165. This code was found by Heurico 1.16 in 0.0362 seconds.