The generator matrix

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

generates a code of length 48 over Z7[X]/(X^2) who´s minimum homogenous weight is 274.

Homogenous weight enumerator: w(x)=1x^0+3024x^274+3990x^275+126x^277+756x^278+2520x^279+2640x^280+10500x^281+11466x^282+630x^284+2016x^285+3780x^286+2148x^287+15204x^288+14490x^289+1302x^291+3402x^292+6048x^293+3720x^294+16548x^295+13272x^296+36x^301+18x^308+6x^315+6x^329

The gray image is a linear code over GF(7) with n=336, k=6 and d=274.
This code was found by Heurico 1.16 in 10.5 seconds.