The generator matrix

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

generates a code of length 37 over Z7[X]/(X^2) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+282x^189+1026x^196+1692x^203+1962x^210+2346x^217+100842x^222+2880x^224+2952x^231+2280x^238+1026x^245+300x^252+60x^259

The gray image is a linear code over GF(7) with n=259, k=6 and d=189.
This code was found by Heurico 1.16 in 7.48 seconds.