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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1 2 1 2 2 2 2 2 4 4 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 4 4 6 6 6 6 2 2 6 2 2 4 2 4 0 2 4 0 2 4 6 6 0 2 2 0 4 2 6 4 2 6 2 0 2 0 4 6 6 4 2 0 0 6 4 2 6 2 6 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 6 2 2 2 2 6 2 4 4 6 4 0 0 4 6 2 4 2 0 4 4 2 6 6 6 4 2 0 0 2 2 6 0 0 6 6 0 6 6 0 4 2 4 0 0 4 0 6 0 4 0 4 2 2 0 0 0 0 2 0 0 0 2 6 2 4 2 2 0 6 0 0 4 6 2 2 6 4 6 2 6 2 0 0 0 2 2 2 6 4 0 6 0 6 0 2 4 0 4 6 2 6 2 6 6 4 4 6 0 0 0 6 0 0 2 4 6 2 2 6 6 0 0 0 0 0 2 0 2 2 2 4 4 4 4 6 2 2 0 0 0 0 6 2 2 2 4 0 0 6 2 4 6 0 6 2 6 2 0 4 0 2 2 4 2 4 6 0 4 6 0 6 6 6 4 6 2 0 6 0 4 4 6 6 2 4 0 0 0 0 0 0 0 0 2 2 0 2 6 2 0 2 4 6 2 6 4 2 4 0 6 0 6 2 4 0 0 4 4 4 6 0 0 6 4 0 6 2 0 2 6 2 6 6 2 4 4 6 4 2 6 6 0 4 6 6 0 0 2 6 6 0 0 2 6 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 4 4 0 4 4 4 4 4 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 4 0 0 4 0 4 0 4 4 4 4 4 0 4 4 4 0 4 4 0 4 4 0 4 0 0 4 0 4 4 0 0 4 0 4 generates a code of length 67 over Z8 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+75x^54+116x^55+248x^56+342x^57+442x^58+540x^59+674x^60+758x^61+1037x^62+1450x^63+2206x^64+2962x^65+3546x^66+4036x^67+3482x^68+3028x^69+2153x^70+1440x^71+1140x^72+770x^73+600x^74+460x^75+492x^76+294x^77+177x^78+146x^79+69x^80+38x^81+27x^82+4x^83+8x^84+6x^86+1x^114 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 64.4 seconds.