The generator matrix

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

generates a code of length 10 over Z7[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+1008x^48+924x^49+3234x^54+12096x^55+4554x^56+30870x^60+19404x^61+36288x^62+9180x^63+90x^70

The gray image is a linear code over GF(7) with n=70, k=6 and d=48.
This code was found by Heurico 1.16 in 0.404 seconds.