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

generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+62x^147+230x^150+340x^153+12x^154+398x^156+72x^157+476x^159+324x^160+444x^162+834x^163+494x^165+1428x^166+452x^168+2274x^169+512x^171+2832x^172+532x^174+2652x^175+510x^177+1716x^178+430x^180+696x^181+408x^183+222x^184+354x^186+60x^187+298x^189+258x^192+174x^195+108x^198+56x^201+12x^204+6x^210+6x^213

The gray image is a linear code over GF(3) with n=258, k=9 and d=147.
This code was found by Heurico 1.16 in 17.2 seconds.