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

generates a code of length 48 over Z7[X]/(X^2) who´s minimum homogenous weight is 266.

Homogenous weight enumerator: w(x)=1x^0+192x^266+126x^267+210x^268+1218x^272+2778x^273+924x^274+1344x^275+5166x^279+6738x^280+2646x^281+2940x^282+16884x^286+17946x^287+5838x^288+5712x^289+19950x^293+17346x^294+4872x^295+4200x^296+246x^301+102x^308+126x^315+90x^322+48x^329+6x^336

The gray image is a linear code over GF(7) with n=336, k=6 and d=266.
This code was found by Heurico 1.16 in 3.98 seconds.