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

generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+42x^150+12x^152+78x^153+84x^155+134x^156+186x^158+98x^159+282x^161+76x^162+318x^164+60x^165+294x^167+68x^168+192x^170+32x^171+84x^173+22x^174+6x^176+24x^177+16x^180+24x^183+10x^186+16x^189+10x^192+10x^195+4x^198+2x^207+2x^210

The gray image is a linear code over GF(3) with n=246, k=7 and d=150.
This code was found by Heurico 1.16 in 0.25 seconds.