The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 X 1 1 1 3X X 1 1 1 1 1 1 3X 1 1 1 1 1 1 1 1 X 1 0 1 1 3 5X+2 6 5X+4 5 0 5X+1 3 5X+2 6 5X+4 5 1 5 5X+2 5X+1 6 X+5 1 5X+4 1 3X+5 2X+5 0 1 1 3 4X+4 4X+2 X X+3 5X+1 1 4X+2 6X+4 4 2X+1 X+6 2X+2 4 6X+6 1 0 0 0 5X 0 5X X 5X X 6X 2X X 6X 0 0 6X 2X 3X 4X 3X 2X 4X X X 4X X 4X 2X 6X X 2X 4X 2X 5X 0 0 3X 5X 5X 6X 0 2X 4X 6X 6X 6X 0 0 0 0 X 4X 4X 3X 6X 0 6X X 6X 5X 4X 3X 3X 6X 3X 5X 5X 5X 3X 0 4X 5X 2X 5X 4X 5X 4X X X X 6X 0 4X 5X 0 4X 4X X 0 0 4X 6X X generates a code of length 46 over Z7[X]/(X^2) who´s minimum homogenous weight is 252. Homogenous weight enumerator: w(x)=1x^0+102x^252+42x^253+42x^255+168x^256+594x^259+1092x^260+1554x^261+1176x^262+1470x^263+1728x^266+5292x^267+4158x^268+2394x^269+2814x^270+5586x^273+16842x^274+11718x^275+5922x^276+5754x^277+8088x^280+19950x^281+11382x^282+4872x^283+4200x^284+216x^287+204x^294+162x^301+72x^308+54x^315 The gray image is a linear code over GF(7) with n=322, k=6 and d=252. This code was found by Heurico 1.16 in 3.81 seconds.