The generator matrix

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

generates a code of length 19 over Z7[X]/(X^2) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+756x^103+504x^104+78x^105+3780x^110+1344x^111+174x^112+7812x^117+2268x^118+36x^119+6x^126+48x^133

The gray image is a linear code over GF(7) with n=133, k=5 and d=103.
This code was found by Heurico 1.16 in 0.0271 seconds.