The generator matrix

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

generates a code of length 30 over Z7[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+798x^165+582x^168+462x^169+2478x^170+7014x^171+5922x^172+294x^174+6150x^175+2604x^176+6804x^177+10962x^178+8694x^179+1764x^181+18204x^182+5166x^183+11298x^184+17010x^185+11340x^186+24x^189+72x^196+6x^203

The gray image is a linear code over GF(7) with n=210, k=6 and d=165.
This code was found by Heurico 1.16 in 2.01 seconds.