The generator matrix 1 0 1 0 1 3X+1 generates a code of length 3 over Z5[X]/(X^2) who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+60x^8+12x^10+300x^12+240x^13+12x^15 The gray image is a linear code over GF(5) with n=15, k=4 and d=8. This code was found by Heurico 1.16 in 2.69e-005 seconds.