The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 1 0 1 1 1 1 X 1 1 X 1 1 1 2X 1 1 0 1 1 1 X 1 1 1 X 1 1 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 2X 1 2X 1 1 X 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 2X+1 0 1 2 2X+1 2 X 1 1 2X 1 X+2 2X 2X+1 1 2X+1 X 1 1 X+2 0 1 2X+2 2X 2X+1 1 2X+2 X+2 2X+1 1 X+1 2X 0 2X+2 2 X+1 X+2 2X+2 X+1 X 0 X+2 1 X+2 2X X+2 X+2 1 2X+2 1 X+2 1 X+1 2X+1 1 X+1 X+2 2 1 2X X+2 1 1 2X+1 2X+1 0 2 2X+2 1 1 X X+1 1 2X+1 X+2 0 0 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X X 2X X 0 2X X 2X 0 X X 2X X 2X 0 0 X X X X 2X 2X 2X X 0 2X X X X X 2X 2X 2X X X 0 0 2X 2X 2X 0 2X X X 2X 0 2X 0 X X 0 X 2X X X 0 2X X 2X X 2X 0 X 0 X 2X 0 2X X 0 2X X 2X X 0 0 0 0 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 0 2X 2X 2X X X 0 X 0 X 0 2X X 2X 0 2X X X X X X 2X 2X X X 2X 0 2X 2X X 0 0 0 X X 0 2X X 0 0 X 0 0 0 2X 0 X X 0 0 0 X X X 2X 0 2X 2X 0 X 0 X 0 X X X 0 X 2X 2X X 2X 0 X 0 X 0 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 0 X 0 0 X 2X 2X 2X 2X X 2X 0 X X X 2X 2X X 0 0 2X 0 0 2X 0 X 2X X 0 0 X 2X 0 2X 0 0 0 X 0 0 X 2X 2X 2X 2X 2X 2X X X X X 2X 0 2X 0 X 0 2X X X X 2X X X X X 0 X 2X 0 X X 2X 2X X 2X 0 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 0 0 0 X 0 0 2X 2X 2X 2X 2X X X X 2X X X 0 2X X 0 0 2X X 0 0 0 X 0 0 0 0 X X 2X X 2X X 2X 2X 2X 2X X 2X 0 X 0 X X 0 2X 2X 0 0 X X 0 2X X 0 X 0 0 0 2X 0 X 0 2X 2X X 0 0 X 2X X 2X generates a code of length 96 over Z3[X]/(X^2) who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+32x^177+30x^178+66x^179+112x^180+210x^181+324x^182+86x^183+324x^184+300x^185+102x^186+426x^187+408x^188+56x^189+444x^190+438x^191+74x^192+402x^193+408x^194+50x^195+432x^196+456x^197+56x^198+306x^199+288x^200+36x^201+192x^202+150x^203+18x^204+84x^205+42x^206+18x^207+66x^208+30x^209+28x^210+6x^212+18x^213+10x^216+4x^219+2x^222+8x^225+6x^228+8x^231+4x^240 The gray image is a linear code over GF(3) with n=288, k=8 and d=177. This code was found by Heurico 1.16 in 1.24 seconds.