The generator matrix

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

generates a code of length 30 over Z7[X]/(X^2) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+156x^147+804x^154+1536x^161+1986x^168+14406x^174+2796x^175+86436x^181+3060x^182+3366x^189+2178x^196+822x^203+102x^210

The gray image is a linear code over GF(7) with n=210, k=6 and d=147.
This code was found by Heurico 1.16 in 5.63 seconds.