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 2 1 1 1 1 1 1 1 1 2 1 1 0 1 1 1 4 2 2 1 2 4 2 4 1 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 0 0 0 4 4 6 6 2 2 2 6 6 6 6 6 6 6 6 2 2 4 6 2 0 0 6 4 4 4 2 6 0 4 2 6 4 0 6 4 2 0 4 0 4 4 6 2 2 6 0 0 0 2 0 0 0 0 0 0 0 2 2 6 6 6 4 6 2 4 6 4 6 4 4 6 6 4 6 0 0 6 6 6 2 0 4 6 6 4 0 2 6 4 4 2 0 6 0 2 6 2 6 2 2 2 4 2 6 6 6 2 4 2 4 0 2 6 0 0 0 0 2 0 0 0 2 6 2 4 2 2 0 2 0 2 0 6 6 4 4 0 2 6 4 6 4 0 2 4 2 6 6 4 4 4 6 6 0 2 0 0 2 6 4 2 0 4 0 0 0 6 2 2 6 0 0 6 4 2 0 0 6 2 0 6 0 0 0 0 0 2 0 2 2 2 4 4 4 4 2 6 2 6 2 6 4 4 4 4 0 2 2 2 4 2 6 0 2 4 6 0 6 6 6 4 0 4 4 4 4 2 6 2 4 2 6 2 4 2 6 4 0 0 2 0 4 2 6 4 6 2 6 6 4 0 0 0 0 0 2 2 0 2 6 2 0 2 0 2 4 4 2 4 4 2 0 4 4 4 4 0 4 4 2 2 6 4 4 2 2 2 6 0 0 6 0 2 0 0 4 2 2 0 0 2 0 4 4 6 6 6 2 2 2 0 4 6 0 6 0 2 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 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 4 0 0 4 4 4 4 4 4 0 0 4 0 4 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 4 0 0 0 4 4 4 4 4 0 4 4 0 0 4 4 4 0 4 4 0 0 4 0 0 4 4 0 0 0 4 0 0 4 0 4 0 4 0 4 4 4 0 0 0 4 0 4 4 4 0 0 4 generates a code of length 68 over Z8 who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+52x^55+171x^56+248x^57+364x^58+454x^59+497x^60+652x^61+799x^62+1094x^63+1605x^64+2146x^65+2916x^66+3510x^67+3656x^68+3574x^69+2948x^70+2250x^71+1628x^72+1090x^73+824x^74+604x^75+481x^76+366x^77+287x^78+196x^79+138x^80+108x^81+47x^82+32x^83+14x^84+8x^85+6x^86+1x^88+1x^114 The gray image is a code over GF(2) with n=272, k=15 and d=110. This code was found by Heurico 1.16 in 65.9 seconds.