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 2 1 0 2 1 0 1 2 0 1 1 2 0 1 1 1 1 2 0 1 0 2 1 1 1 1 1 1 2 1 0 0 1 1 1 1 1 2 1 1 1 4 1 0 2 0 1 1 4 1 2 2 1 2 2 4 1 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 4 6 6 0 6 0 0 2 2 0 4 4 6 6 2 6 6 2 6 6 2 0 2 6 2 0 6 0 0 6 2 2 2 6 2 0 2 6 0 4 6 6 2 2 4 2 2 2 0 6 4 2 2 0 2 2 6 2 0 0 0 4 0 6 4 6 6 0 4 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 0 4 0 0 4 0 4 4 0 4 0 4 4 4 0 0 0 4 4 4 4 4 0 0 0 0 4 4 4 4 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 0 4 0 4 4 0 4 4 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 0 4 4 0 0 4 4 0 0 0 0 4 4 0 4 4 0 0 4 4 4 4 0 4 0 0 4 4 0 4 4 4 0 0 4 4 4 0 0 4 0 4 0 4 0 4 0 4 0 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 4 4 0 0 0 0 4 0 0 4 4 0 4 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 0 0 4 4 4 4 4 4 0 0 0 0 4 0 0 4 4 0 4 0 4 0 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 0 0 4 0 0 0 4 4 0 4 4 0 4 0 4 4 0 0 4 0 0 4 0 4 0 4 0 4 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 0 0 4 0 0 0 4 0 4 0 0 4 4 4 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 0 0 4 4 4 4 0 4 0 0 0 0 4 0 0 4 4 0 0 4 4 0 4 0 0 0 4 0 0 4 0 0 4 0 0 0 0 4 0 4 0 4 0 0 4 0 4 4 4 4 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 4 4 4 0 0 4 0 4 4 0 4 4 4 4 4 0 4 0 0 0 4 4 4 0 0 0 0 4 0 0 4 4 0 0 4 0 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 0 0 0 4 4 4 0 0 0 4 4 0 0 4 0 4 0 4 0 0 4 0 4 0 4 4 0 0 4 4 4 4 4 0 0 0 4 0 0 4 4 4 4 0 0 4 0 4 0 4 0 0 0 4 0 4 0 0 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 4 4 4 4 4 0 4 0 0 4 4 0 4 4 4 4 4 4 4 4 0 4 4 0 0 4 0 0 4 4 0 4 0 4 0 0 0 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 4 4 4 0 0 0 4 0 0 0 4 4 0 4 0 4 0 0 4 0 4 4 0 4 0 4 4 0 4 4 4 0 0 0 4 0 0 4 4 0 4 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 4 0 4 4 4 4 0 0 4 4 4 4 0 4 4 4 0 4 4 0 4 0 4 4 0 0 4 0 4 0 0 0 0 0 0 4 0 4 4 0 4 4 0 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 4 4 0 4 generates a code of length 84 over Z8 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+38x^66+136x^68+218x^70+8x^71+388x^72+32x^73+668x^74+184x^75+933x^76+660x^77+1201x^78+1484x^79+1601x^80+2492x^81+1998x^82+3268x^83+2073x^84+3336x^85+1923x^86+2624x^87+1657x^88+1496x^89+1293x^90+576x^91+898x^92+164x^93+572x^94+44x^95+348x^96+12x^97+215x^98+4x^99+110x^100+50x^102+31x^104+11x^106+9x^108+3x^110+6x^112+1x^114+1x^116+1x^118 The gray image is a code over GF(2) with n=336, k=15 and d=132. This code was found by Heurico 1.16 in 96.5 seconds.