The generator matrix 1 0 0 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 2*X a*X 1 1 a^5*X 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 0 1 0 a^7*X+1 a a^2 a^7*X+2 a^7*X+a^7 X a^7*X+a a^6 a^6*X+1 a^7*X+a^2 a^7*X+a^3 a^7 X+a^2 a^7*X+a^5 2 a^3 X+a^6 a^6*X a^5 a^7*X+a^6 a^6*X+a^7 a^3*X+1 a^5*X+a^3 a*X a*X+2 1 1 a*X+a a^5*X+a^6 1 a^5*X+a X+a^3 a^2*X+a a^5*X+a^7 a^6*X+a^2 1 2*X+a^3 a^6*X+2 a*X+1 a*X+a^5 a^2*X+a 2*X+a^5 a*X+a^7 a^5*X+a^2 2*X+2 a^5*X+a^5 a^7*X 0 0 1 a^7*X+a^7 a a^6 a^7*X+a^5 a^7*X+2 a^7*X+a^3 a^7*X+a^2 X+a^6 a^3 a^6*X+a^7 a^6*X+a^2 X+a a^5*X+2 a^3*X+1 a*X+1 a^6*X+a^5 a*X+a^2 X+1 a^3*X 2*X+a^3 a*X+a^6 X a^2*X+2 2*X+a a^7*X+a^6 X+a^3 a^5*X+a^6 a^6*X+1 a*X+2 a^5*X+a 2*X+a^7 X+a^7 a^2*X a^5*X+a^2 a^7*X+a^2 a*X+a^5 a^2*X+a a^7*X+a^7 X+a^6 a^7*X+a a^5*X+a^3 a*X+a^7 a^5*X+1 a^5*X a^6*X+a^3 2*X+2 a^5*X+a^2 generates a code of length 50 over F9[X]/(X^2) who´s minimum homogenous weight is 379. Homogenous weight enumerator: w(x)=1x^0+2808x^379+2232x^380+288x^384+864x^385+864x^386+10936x^387+41256x^388+19008x^389+1296x^392+4608x^393+6048x^394+3456x^395+27368x^396+87912x^397+32400x^398+5832x^400+10368x^401+18432x^402+16416x^403+7344x^404+49800x^405+136296x^406+45504x^407+16x^414+32x^423+32x^432+16x^441+8x^450 The gray image is a linear code over GF(9) with n=450, k=6 and d=379. This code was found by Heurico 1.16 in 24.7 seconds.