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

generates a code of length 34 over Z7[X]/(X^2) who´s minimum homogenous weight is 189.

Homogenous weight enumerator: w(x)=1x^0+1308x^189+1176x^190+210x^192+378x^193+504x^194+3906x^195+10128x^196+3528x^197+2058x^198+2520x^199+1890x^200+1344x^201+6888x^202+15096x^203+5880x^204+12348x^205+7560x^206+3906x^207+2268x^208+9786x^209+18996x^210+5880x^211+18x^217+30x^224+42x^231

The gray image is a linear code over GF(7) with n=238, k=6 and d=189.
This code was found by Heurico 1.16 in 2.28 seconds.