The generator matrix 1 0 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 1 X 1 1 0 1 0 1 1 X 0 1 X 0 1 X X 1 1 X 1 1 1 1 1 0 X X X X 1 0 1 0 0 0 0 0 0 1 X+1 1 1 1 X+1 1 X X X+1 1 X X+1 1 1 1 1 0 X 1 0 1 1 X+1 1 1 X X+1 X X 0 X+1 X X 0 1 0 1 0 1 0 0 1 0 0 1 X+1 1 1 1 X X 1 0 1 X X+1 0 X+1 1 X 1 X+1 X 0 X 0 X 1 1 0 1 0 X 0 X+1 1 X X 1 X+1 X+1 X 0 1 X 1 X+1 0 0 0 1 1 X+1 0 X+1 0 1 X+1 1 X 0 X+1 0 1 X 0 X X+1 X+1 X X X X 1 1 1 X+1 X 0 1 0 X 1 1 X+1 X X 0 X 0 1 1 X 0 1 0 0 0 0 X X X 0 X X 0 X 0 X 0 X 0 0 X 0 0 X X 0 0 0 X X 0 X X 0 0 X X 0 X X X 0 X 0 X X 0 X X X generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+210x^44+163x^48+74x^52+44x^56+20x^60 The gray image is a linear code over GF(2) with n=96, k=9 and d=44. As d=44 is an upper bound for linear (96,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9. This code was found by Heurico 1.16 in 0.149 seconds.