The generator matrix 1 0 0 1 1 0 1 0 1 2 0 0 1 3 2 0 0 0 3X 4X generates a code of length 5 over Z5[X]/(X^2) who´s minimum homogenous weight is 10. Homogenous weight enumerator: w(x)=1x^0+40x^10+1000x^12+120x^15+5000x^16+8000x^17+27760x^20+20000x^21+16000x^22+204x^25 The gray image is a linear code over GF(5) with n=25, k=7 and d=10. This code was found by Heurico 1.16 in 0.139 seconds.