The generator matrix 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 0 X 0 0 0 X X 4X 0 X X X 6X 3X 0 0 0 X 0 0 5X 4X 5X X 6X 2X 3X 0 2X X 0 0 0 X 0 5X 3X 3X 5X 4X 0 4X 5X 6X 5X 0 0 0 0 X 5X 6X X 6X 5X 4X 4X X 3X 4X generates a code of length 15 over Z7[X]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+138x^63+918x^70+1656x^77+17682x^84+91332x^91+4338x^98+1584x^105 The gray image is a linear code over GF(7) with n=105, k=6 and d=63. This code was found by Heurico 1.16 in 1.93 seconds.