The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 2 4 3 0 0 0 0 0 3X 0 0 X 0 4X X 0 0 0 X 0 3X 2X 3X 3X 0 0 0 0 3X 4X 4X 2X 3X generates a code of length 9 over Z5[X]/(X^2) who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+80x^20+544x^25+2440x^30+12500x^32+6080x^35+50000x^37+6060x^40+420x^45 The gray image is a linear code over GF(5) with n=45, k=7 and d=20. This code was found by Heurico 1.16 in 0.332 seconds.