The generator matrix

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

generates a code of length 26 over Z7[X]/(X^2) who´s minimum homogenous weight is 146.

Homogenous weight enumerator: w(x)=1x^0+1764x^146+486x^147+4704x^153+828x^154+7938x^160+1038x^161+12x^168+12x^175+24x^182

The gray image is a linear code over GF(7) with n=182, k=5 and d=146.
This code was found by Heurico 1.16 in 4.02 seconds.