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 2 2 1 1 1 1 1 0 4 2 2 4 4 1 1 1 0 1 4 2 2 0 2 4 1 1 2 0 1 2 2 1 1 1 4 0 1 2 0 1 1 0 2 0 0 0 2 6 2 0 0 0 2 4 4 6 6 2 2 6 4 4 0 2 0 6 6 0 6 0 4 2 4 6 4 2 6 0 2 4 0 2 2 0 6 2 4 2 2 4 2 0 4 6 2 6 6 0 6 2 4 4 4 2 2 4 0 0 0 0 2 0 2 2 6 0 0 0 2 4 2 0 0 6 2 0 2 6 2 4 0 4 2 6 0 4 0 2 4 6 6 2 0 2 2 2 2 6 0 2 2 4 2 2 2 2 0 2 6 6 0 6 2 0 2 2 4 2 0 2 2 0 2 6 4 0 0 0 2 2 0 6 2 0 6 2 6 4 2 4 0 6 4 6 6 0 0 2 2 0 0 6 4 0 0 6 4 4 4 2 2 2 4 2 2 4 4 4 6 0 4 2 2 6 4 6 6 2 6 2 6 4 4 0 6 2 2 2 2 0 0 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 0 4 4 4 4 4 0 0 4 0 4 4 4 0 4 0 4 0 4 0 4 4 4 4 4 0 4 4 0 0 4 4 4 0 4 4 4 4 0 4 0 0 0 0 0 4 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 0 0 4 0 0 0 0 0 4 4 4 0 4 0 4 0 4 4 0 4 4 4 0 0 4 0 4 4 4 4 0 4 4 4 0 4 4 4 4 4 0 0 0 0 4 4 0 4 0 4 0 4 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 0 0 4 4 4 0 4 4 4 0 4 4 4 0 4 0 0 4 4 4 0 0 0 4 4 4 0 4 0 0 0 0 4 0 0 0 4 4 4 4 0 4 0 4 0 0 4 4 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 4 0 0 0 4 0 4 0 4 4 0 4 4 0 0 0 0 0 4 4 0 0 0 4 0 4 4 4 4 4 0 0 0 4 0 0 4 0 4 4 0 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 4 4 4 4 4 4 4 4 4 0 4 4 4 0 4 0 4 0 0 0 0 4 4 0 4 4 4 4 0 0 4 4 0 4 4 4 4 0 0 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 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 4 4 4 0 4 4 4 4 0 0 4 4 generates a code of length 67 over Z8 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+173x^54+502x^56+36x^57+892x^58+104x^59+1313x^60+492x^61+2145x^62+928x^63+3263x^64+1608x^65+3931x^66+1840x^67+4101x^68+1592x^69+3277x^70+1056x^71+2135x^72+340x^73+1444x^74+168x^75+752x^76+28x^77+364x^78+190x^80+51x^82+25x^84+8x^86+5x^88+2x^90+1x^92+1x^94 The gray image is a code over GF(2) with n=268, k=15 and d=108. This code was found by Heurico 1.16 in 72.9 seconds.