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

generates a code of length 40 over Z7[X]/(X^2) who´s minimum homogenous weight is 225.

Homogenous weight enumerator: w(x)=1x^0+1554x^225+1386x^226+42x^228+126x^229+1008x^230+5952x^231+10458x^232+6426x^233+294x^234+504x^235+630x^236+2688x^237+8964x^238+16758x^239+7686x^240+1764x^241+1512x^242+1302x^243+4536x^244+14196x^245+20622x^246+9198x^247+24x^252+6x^259+6x^266+6x^273

The gray image is a linear code over GF(7) with n=280, k=6 and d=225.
This code was found by Heurico 1.16 in 2.7 seconds.