The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 3 5X+2 6 5X+4 5 0 5X+1 3 5X+2 6 0 0 5X 0 5X X 5X X 6X 2X 3X 6X 3X 0 0 0 X 4X 4X 3X 6X 0 6X 6X 3X 4X generates a code of length 13 over Z7[X]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+324x^63+1470x^66+420x^70+6174x^72+17640x^73+540x^77+37044x^79+52920x^80+810x^84+306x^91 The gray image is a linear code over GF(7) with n=91, k=6 and d=63. This code was found by Heurico 1.16 in 0.612 seconds.