The generator matrix 1 0 0 0 1 1 1 1 1 0 1 0 0 3X+1 3X+2 X 3X+3 1 0 0 1 0 3X+3 3X+2 3X+1 3X+4 4 0 0 0 1 3X+3 3X+4 4X+4 4X+2 2X generates a code of length 9 over Z5[X]/(X^2) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+800x^24+924x^25+3000x^28+9600x^29+4120x^30+27500x^32+24000x^33+38400x^34+11560x^35+50000x^36+110000x^37+48000x^38+51200x^39+11440x^40+80x^45 The gray image is a linear code over GF(5) with n=45, k=8 and d=24. This code was found by Heurico 1.16 in 11.9 seconds.