The generator matrix

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

generates a code of length 35 over Z7[X]/(X^2) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+270x^189+42x^192+168x^193+420x^194+1554x^195+1506x^196+588x^198+756x^199+1260x^200+1680x^201+4158x^202+3078x^203+7056x^205+4536x^206+5208x^207+5670x^208+11718x^209+6102x^210+21168x^212+9072x^213+7770x^214+6636x^215+11382x^216+5208x^217+312x^224+234x^231+84x^238+12x^245

The gray image is a linear code over GF(7) with n=245, k=6 and d=189.
This code was found by Heurico 1.16 in 2.78 seconds.