The generator matrix

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

generates a code of length 19 over Z7[X]/(X^2) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+762x^98+2058x^102+2160x^105+24696x^109+6144x^112+74088x^116+7122x^119+474x^126+144x^133

The gray image is a linear code over GF(7) with n=133, k=6 and d=98.
This code was found by Heurico 1.16 in 29.2 seconds.