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 2 0 1 1 1 2 2 2 1 0 1 4 2 1 1 2 1 4 0 2 1 0 1 1 1 1 4 2 1 2 1 1 1 2 1 0 0 1 0 1 2 4 4 1 2 1 4 1 0 2 0 2 0 0 2 6 0 4 2 0 6 4 6 2 6 0 2 0 2 4 0 2 2 0 6 2 4 2 4 0 0 2 6 0 2 6 4 2 2 2 2 0 4 2 2 0 2 6 2 2 0 4 4 6 2 6 6 6 0 4 6 2 6 0 2 2 2 4 0 2 4 6 4 6 4 0 0 0 2 2 0 6 2 0 0 2 2 4 4 6 2 4 0 0 2 0 2 2 6 0 6 6 2 0 2 4 2 2 6 6 6 6 2 0 0 4 6 2 2 2 0 6 0 2 4 0 4 4 0 2 2 4 2 0 0 4 0 4 6 0 2 2 0 4 4 6 6 0 2 0 2 6 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 0 4 4 4 4 4 0 0 4 0 4 4 4 4 0 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 0 0 4 4 0 0 0 0 4 4 4 0 4 4 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 0 4 4 4 4 4 4 0 4 0 0 4 4 0 4 4 0 0 4 0 4 4 0 4 0 4 4 4 0 4 0 4 0 0 0 0 0 4 0 4 0 4 0 0 0 4 4 4 4 4 4 0 4 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 0 4 0 4 0 4 4 4 0 0 0 0 4 0 4 4 4 4 4 0 4 4 0 4 0 0 0 4 0 4 0 4 0 0 4 4 0 0 4 4 4 0 0 4 0 0 4 0 4 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 4 4 0 4 0 4 0 0 4 4 0 4 0 4 4 4 0 0 4 0 0 4 4 0 0 4 0 0 0 4 4 4 4 4 0 4 0 0 4 0 0 0 0 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 0 4 0 0 4 4 0 4 0 4 4 4 4 4 0 0 4 4 0 0 0 0 4 0 4 4 0 4 4 0 0 0 0 4 4 0 0 4 4 0 0 0 0 0 4 0 4 4 4 0 0 0 4 0 4 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 4 4 4 0 0 4 4 4 4 0 0 4 4 4 0 4 0 4 0 0 4 4 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+50x^66+58x^67+126x^68+138x^69+186x^70+244x^71+317x^72+396x^73+481x^74+572x^75+625x^76+686x^77+666x^78+626x^79+530x^80+538x^81+436x^82+402x^83+322x^84+238x^85+155x^86+120x^87+85x^88+40x^89+51x^90+24x^91+29x^92+10x^93+16x^94+2x^95+11x^96+2x^97+4x^98+2x^100+1x^102+2x^106 The gray image is a code over GF(2) with n=312, k=13 and d=132. This code was found by Heurico 1.16 in 6.03 seconds.