The generator matrix 1 0 1 1 1 1 1 1 1 1 0 1 1 2 3X+4 3 0 3X+1 2 3X+4 0 0 3X 0 3X 2X 0 4X 2X 3X 0 0 0 X 3X X 2X 3X 0 2X generates a code of length 10 over Z5[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+84x^30+400x^32+144x^35+1000x^36+3200x^37+144x^40+4000x^41+6400x^42+184x^45+68x^50 The gray image is a linear code over GF(5) with n=50, k=6 and d=30. This code was found by Heurico 1.16 in 0.0378 seconds.