The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 5X  1  1  1 6X  1  1  0  1  X  1  1  1  1  1  1  1  1  1  1 3X  1  1  1  1  1  1  1  1
 0  1  0 5X 3X 6X  X 2X 3X 5X+1  3 5X+2  1 4X+1 2X+1 X+3 4X+2 4X+4 5X+5 6X+6 6X+3 2X+6 4X+6 3X+6 3X+5 2X+5 X+2 5X+4  1 4X+1 X+6  4  1 3X+3 X+4  1 3X+2  1 X+5  5 6X+4 2X+2 3X+3 5X+6 4X+3 X+4 4X+2 5X+1  1 6X+5 3X+1 5X+3 3X+4 3X+5 6X+4 4X+5 3X+1
 0  0  1 5X+1  3 5X+2 5X+6  4  5 5X+5 3X+5 6X+5 3X+4 X+6 4X+2 6X+6 3X+6 5X X+1 3X+2  X X+4 3X 3X+3 5X+3 X+6 2X  1 3X+6 6X+3 6X+1 2X+6 X+5 3X+4  2 4X+3 6X+3 3X+2 4X 6X+4 X+3 2X+1  2 X+5 3X+3 5X+4 2X+2 3X+1 3X+1 X+5 3X 5X+1 6X+5 6X+2 2X+1 6X+4 X+1

generates a code of length 57 over Z7[X]/(X^2) who´s minimum homogenous weight is 328.

Homogenous weight enumerator: w(x)=1x^0+1302x^328+6906x^329+2730x^330+1260x^331+420x^333+6678x^335+17526x^336+5040x^337+1638x^338+630x^340+7434x^342+19848x^343+5544x^344+1764x^345+1008x^347+9282x^349+21912x^350+5208x^351+1512x^352+6x^364

The gray image is a linear code over GF(7) with n=399, k=6 and d=328.
This code was found by Heurico 1.16 in 3.99 seconds.