The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 0 1 0 1 4 1 1 2 2 1 2 1 4 1 1 0 1 2 0 4 1 0 2 1 1 1 2 1 0 1 1 1 1 1 0 2 0 2 0 0 2 6 0 0 2 6 0 0 6 2 4 2 2 6 4 2 2 0 2 4 2 4 6 4 2 2 2 6 4 2 6 2 0 2 6 2 6 4 0 6 0 6 4 2 4 0 2 0 0 0 2 2 0 6 2 0 0 6 2 0 4 2 0 2 2 2 0 4 2 6 0 0 2 2 4 2 0 4 2 6 2 2 2 4 6 2 2 6 0 4 0 6 4 6 0 0 2 6 6 6 2 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 4 4 4 4 4 4 4 4 4 0 4 4 4 4 0 0 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 4 0 0 4 4 4 4 4 4 0 4 0 0 0 4 0 0 0 4 0 0 4 0 0 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 0 0 4 4 0 4 0 4 0 4 4 4 0 4 0 4 4 0 4 0 4 4 4 0 4 0 4 4 0 0 4 0 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 0 4 0 0 4 4 0 4 0 4 4 4 0 4 0 4 4 0 4 4 0 0 0 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 0 4 4 4 4 4 4 4 0 0 0 0 4 0 4 0 0 4 4 4 0 4 0 0 4 4 4 4 0 0 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 0 4 0 4 0 4 4 0 4 4 4 0 0 0 4 4 4 0 4 0 0 4 0 0 0 4 0 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 0 0 0 4 4 0 4 4 4 4 0 0 4 4 4 4 0 0 0 0 4 4 4 4 0 0 0 4 0 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 4 4 4 4 0 0 4 4 4 4 0 4 0 0 4 4 4 0 0 4 4 0 4 0 0 4 0 0 0 4 4 4 0 generates a code of length 54 over Z8 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+49x^40+44x^41+146x^42+138x^43+251x^44+348x^45+454x^46+608x^47+911x^48+1432x^49+1774x^50+2340x^51+2879x^52+3192x^53+3458x^54+3326x^55+2907x^56+2444x^57+1778x^58+1426x^59+907x^60+604x^61+442x^62+316x^63+216x^64+112x^65+106x^66+32x^67+57x^68+16x^69+30x^70+6x^71+12x^72+4x^74+2x^76 The gray image is a code over GF(2) with n=216, k=15 and d=80. This code was found by Heurico 1.16 in 45.7 seconds.