The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 0 X 1 1 X 1 X 1 1 1 1 0 X X 1 1 1 1 1 1 1 0 1 0 1 1 X 1 0 0 1 0 X 0 X 0 0 X 1 X 1 1 0 1 1 1 0 1 0 1 X 1 1 1 0 1 1 1 0 1 X 1 X 1 1 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 X 0 1 X 1 X 1 1 1 1 X 1 1 X 0 X X+1 0 X X+1 X+1 1 X+1 1 X+1 1 X X 1 1 0 X X 1 1 0 1 1 X+1 1 X X+1 1 X X+1 1 1 X+1 1 1 X 0 0 0 1 X 0 0 X 0 1 X+1 1 0 X+1 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 1 1 X+1 0 0 X 1 0 X+1 1 X+1 1 0 0 X+1 X+1 1 X X+1 X 0 0 X+1 X X X X X X+1 1 1 0 0 X+1 0 X 1 1 X+1 X+1 X X+1 1 X X 0 0 X X+1 0 1 X+1 0 1 X+1 0 X+1 X 1 X+1 0 X X 1 0 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 1 X X+1 X X+1 X+1 1 1 0 X 1 0 0 1 X X X+1 X X 1 X 0 X+1 0 X+1 X+1 X 0 0 1 1 1 1 X+1 1 0 X X+1 0 1 1 X+1 X X+1 1 0 X 1 X+1 0 X+1 X X+1 1 0 X+1 0 1 X X+1 X X+1 0 X 0 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 0 1 0 X X X+1 0 X+1 X+1 X 1 X+1 1 0 0 X+1 X+1 X+1 X X 1 1 0 0 1 X 1 X+1 1 1 1 X X X 0 1 X X+1 1 0 0 1 X 0 0 X 0 1 0 X 1 1 0 0 X 0 0 0 1 1 1 0 X+1 1 1 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X+1 1 X+1 0 X+1 0 0 1 1 0 1 X X+1 0 X+1 0 X 1 1 X 0 X+1 1 1 X 1 X+1 0 X+1 0 0 X+1 1 1 X 1 1 X 0 1 1 X+1 1 X X 1 1 0 X X+1 1 1 0 1 X 1 1 0 1 X X X+1 X X+1 1 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 X X X 0 0 0 0 X X 0 0 0 X X 0 X 0 X X 0 0 X 0 X X X 0 0 X X X 0 0 0 X X 0 X X 0 0 X 0 0 0 0 X X 0 X X 0 0 X generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+138x^70+474x^72+644x^74+751x^76+852x^78+906x^80+928x^82+855x^84+746x^86+632x^88+510x^90+371x^92+234x^94+91x^96+38x^98+15x^100+6x^102 The gray image is a linear code over GF(2) with n=164, k=13 and d=70. This code was found by Heurico 1.16 in 13.2 seconds.