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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  X  X  1  1  1  1  1  1  1  1  1  X  X  1  1  1  1  X  X  1  1  X  1  1  1
 0  X  0  0  0  0  0  0  0  0  X 2X 2X  X  X  X  0 2X  X 2X  X  0  X  0 2X  X  0 2X  X 2X 2X 2X  X  X  X  0 2X 2X  0  X  0  0  X 2X 2X  X 2X 2X  X  0 2X 2X 2X  0 2X  X  0 2X 2X  0  X  0  X 2X 2X  X 2X  X 2X 2X  0  0 2X  0  X 2X 2X  X  X  X  0 2X  0  0  0
 0  0  X  0  0  0  0  X 2X 2X 2X  0  0 2X  X 2X  X  0  X  X  0 2X 2X  0  X  X 2X  0  X  0 2X 2X 2X  X 2X  0 2X 2X  X 2X 2X  0  X  0 2X 2X  0  X  0  X  0 2X  0  0 2X 2X  X  0  X 2X  X  X  0  0 2X  X  X  X  0  X 2X  X 2X 2X 2X  X  X 2X 2X  0  0  0  0 2X 2X
 0  0  0  X  0  0  X 2X  0 2X  0  0 2X  X  X 2X  0  X  0 2X  0 2X 2X  0 2X  0  X 2X 2X  X  X  X 2X  0  0 2X 2X  X 2X 2X  X  X 2X  0 2X  X 2X  0 2X  0  X 2X  0  0 2X 2X  X 2X  X  0  X 2X 2X  0  0 2X  0  X  X 2X  X  X  0  0  0 2X 2X 2X  0  X 2X 2X  0  X 2X
 0  0  0  0  X  0 2X 2X  X  0 2X 2X 2X  0 2X 2X  0 2X  X  0 2X 2X  0  X 2X  0 2X  X  0  X  0  X  0 2X  0 2X  0 2X  X  X  0 2X 2X  X 2X 2X  0  X  0 2X  X 2X  0  0  0 2X 2X  0 2X 2X 2X 2X 2X  0  0 2X  0 2X  0  X  0 2X  X 2X  0 2X  0 2X  X 2X  0 2X 2X 2X  X
 0  0  0  0  0  X 2X 2X 2X 2X 2X 2X  X 2X  X  X 2X  X 2X 2X 2X 2X  0 2X  0  X  0  0 2X  X 2X  0 2X  X  0  X  X  0  X  X  0  X 2X  0 2X  X  X  X  X  0 2X  0 2X 2X 2X  0 2X  0 2X  X  X  X 2X  0 2X  0  0  0  0 2X  X  X 2X  0  X 2X  0  X  X 2X 2X  0 2X  X  X

generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+160x^159+30x^160+114x^162+108x^163+234x^166+184x^168+408x^169+68x^171+378x^172+252x^175+68x^177+48x^178+26x^180+42x^186+26x^189+20x^195+4x^198+8x^204+4x^207+2x^213+2x^231

The gray image is a linear code over GF(3) with n=255, k=7 and d=159.
This code was found by Heurico 1.16 in 78.5 seconds.