The generator matrix

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

generates a code of length 24 over Z7[X]/(X^2) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+1278x^133+9072x^134+1260x^135+882x^138+6516x^140+24192x^141+1890x^142+10290x^144+5292x^145+13080x^147+40824x^148+3024x^149+18x^161+30x^168

The gray image is a linear code over GF(7) with n=168, k=6 and d=133.
This code was found by Heurico 1.16 in 1.33 seconds.