The generator matrix

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

generates a code of length 33 over Z7[X]/(X^2) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+126x^175+42x^176+378x^180+336x^181+1218x^182+588x^183+3276x^187+2520x^188+3792x^189+2394x^190+10836x^194+10416x^195+11820x^196+5628x^197+28728x^201+15540x^202+13590x^203+5754x^204+258x^210+210x^217+174x^224+24x^231

The gray image is a linear code over GF(7) with n=231, k=6 and d=175.
This code was found by Heurico 1.16 in 2.58 seconds.