The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 1 1 0 1 X 1 1 1 0 1 0 X 1 1 1 X 1 X X X 1 0 0 X 1 1 X 1 1 0 0 X X 1 X X 0 0 1 1 1 0 0 1 0 X 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 X X+1 1 X X 1 1 X+1 1 0 0 1 1 X+1 0 X 1 X+1 X 0 X X+1 X X 1 1 0 1 X X+1 1 0 1 0 X+1 X 1 1 1 X+1 1 0 X 0 0 1 0 X X X+1 1 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X+1 X X+1 0 0 X X+1 X+1 1 1 X X+1 X 0 1 X+1 1 X 1 1 0 0 0 0 1 0 1 0 0 X+1 1 0 0 1 1 X X 1 1 1 1 X+1 1 0 X+1 X 1 0 X+1 X X 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 X+1 X 0 1 1 0 1 1 0 X+1 X+1 X X 0 0 1 1 X+1 X 1 0 1 1 1 X X+1 0 X X+1 0 X+1 1 X+1 1 0 1 X 1 0 0 X X+1 0 0 1 X+1 0 1 X X X+1 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 X+1 0 X+1 X 0 X+1 0 1 X 1 X X X 1 0 X X+1 X+1 X+1 1 0 1 X X+1 X+1 0 1 X 1 X+1 X 1 0 X+1 1 X+1 X 1 1 1 X X+1 X+1 X+1 1 1 X+1 X+1 0 1 X+1 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 X 0 X X X 0 0 X 0 X 0 X X 0 X X 0 0 0 0 X 0 X 0 0 X X X 0 0 0 X 0 0 0 X X X 0 X X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X X 0 X X 0 X 0 X X 0 0 X X 0 X 0 0 X 0 0 0 X X 0 0 X 0 X X X X 0 X 0 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X X 0 0 X 0 0 0 X X 0 X X 0 0 0 X 0 0 0 0 X 0 0 0 X X 0 0 X 0 0 X 0 X 0 X X 0 X 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X X X 0 X X X X 0 X 0 0 X X 0 0 X 0 0 0 X X X X X X 0 X X X 0 X X X 0 X 0 X X 0 X X 0 X 0 X 0 0 X 0 X X X X X 0 X 0 generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+66x^53+161x^54+216x^55+324x^56+450x^57+535x^58+572x^59+724x^60+762x^61+846x^62+952x^63+962x^64+1044x^65+1006x^66+1056x^67+1139x^68+1060x^69+899x^70+812x^71+616x^72+526x^73+477x^74+368x^75+267x^76+174x^77+148x^78+116x^79+55x^80+12x^81+21x^82+4x^83+5x^84+2x^85+2x^86+2x^88+1x^92+1x^98 The gray image is a linear code over GF(2) with n=132, k=14 and d=53. This code was found by Heurico 1.16 in 72.2 seconds.