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 X 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 X 1 1 X 1 1 1 X 1 1 1 1 X X 1 1
0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X 2X 2X X X 2X X 2X 0 2X X 0 2X 2X X X 2X 2X 2X 0 X 0 2X X X 0 2X X X 0 X 2X 2X X X X 2X 2X 2X 2X 0 0 X 2X X X 0 0 0 0 2X 0 0 2X X 2X 0
0 0 X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 0 X 0 X X 2X X 2X 0 X 2X 0 2X 0 0 X 0 0 2X X 2X X X 2X X X 2X X 2X X 0 2X 0 X X 2X 0 2X 0 2X X 2X X X X 0 X X X 2X 0 0 X 2X X 2X 2X X 0
0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 X 0 X 2X X 2X 2X 2X 2X 0 0 0 2X 2X 0 0 2X 2X 2X 0 0 X 2X 2X X 2X 0 X 2X X 0 X 0 0 2X X X 2X 2X X X 2X 2X 0 2X 0 X 0 X 0 X 0 X 2X 0 0 0 2X 0 0 X
0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X 2X X X X 2X X 0 2X X 2X X 0 X 2X 0 X 0 0 2X 2X X 2X 0 0 0 0 2X 2X X 2X 0 X 2X X X X 0 0 0 2X 2X X 0 2X X 0 0 X 0 0 0 2X 0 2X X 2X 2X X 0 X 0
0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 X 0 0 2X 2X 0 2X X 2X 0 0 X 0 X 2X 2X 2X 2X X 2X 0 X X 2X 0 2X 0 0 0 0 0 2X 0 0 2X X X 0 X 2X X 2X 2X X X 0 X 0 0 2X 0 0 2X 0 2X X X
0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X X X 0 2X 0 0 X 0 2X 2X 2X 0 X X 0 0 2X 0 X 2X 0 2X 0 X 0 X 2X 2X 2X 0 X X 2X 0 X 2X 2X 2X 2X 2X X 0 2X X 0 X 2X 0 X 0 0 2X 0 X 2X 0 2X 2X X 0 0
generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 132.
Homogenous weight enumerator: w(x)=1x^0+78x^132+172x^135+6x^137+220x^138+96x^140+246x^141+288x^143+226x^144+690x^146+190x^147+1302x^149+126x^150+1116x^152+178x^153+708x^155+160x^156+168x^158+120x^159+136x^162+92x^165+96x^168+56x^171+36x^174+36x^177+14x^180+2x^183+2x^201
The gray image is a linear code over GF(3) with n=225, k=8 and d=132.
This code was found by Heurico 1.16 in 1.58 seconds.