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

generates a code of length 38 over Z7[X]/(X^2) who´s minimum homogenous weight is 203.

Homogenous weight enumerator: w(x)=1x^0+72x^203+126x^205+342x^210+168x^211+2310x^212+798x^213+1272x^217+1260x^218+8778x^219+2016x^220+5004x^224+5208x^225+26460x^226+5922x^227+9348x^231+7770x^232+34356x^233+5670x^234+264x^238+228x^245+162x^252+84x^259+30x^266

The gray image is a linear code over GF(7) with n=266, k=6 and d=203.
This code was found by Heurico 1.16 in 3.01 seconds.