The generator matrix

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

generates a code of length 30 over Z7[X]/(X^2) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+252x^176+1008x^177+36x^182+336x^183+756x^184+12x^189

The gray image is a linear code over GF(7) with n=210, k=4 and d=176.
This code was found by Heurico 1.16 in 0.00323 seconds.