The generator matrix

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

generates a code of length 17 over Z7[X]/(X^2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+420x^90+3816x^91+1512x^92+588x^96+5040x^97+19080x^98+4032x^99+18522x^102+3528x^103+15120x^104+39120x^105+6804x^106+12x^112+54x^119

The gray image is a linear code over GF(7) with n=119, k=6 and d=90.
This code was found by Heurico 1.16 in 0.826 seconds.