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 0 2 0 1 2 0 1 2 0 1 2 1 0 1 1 0 0 1 1 2 1 0 1 2 2 1 1 1 2 1 1 1 2 0 4 1 1 1 0 1 2 2 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 2 6 2 6 6 2 6 6 2 2 6 0 2 0 6 2 2 0 6 6 0 2 2 6 2 6 6 4 6 0 6 6 6 2 4 2 2 4 2 4 4 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 4 4 0 4 0 0 4 0 0 4 0 4 0 0 0 4 4 4 4 4 0 4 4 0 4 0 4 0 0 0 0 0 4 4 4 0 0 4 4 4 0 0 4 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 4 4 4 0 0 4 4 4 0 0 4 4 0 4 0 4 0 4 0 4 4 4 0 0 4 0 4 4 0 0 4 0 0 4 4 4 0 4 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 4 0 4 0 4 4 0 4 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 4 0 0 0 4 4 0 4 4 4 4 0 0 0 0 4 4 0 0 4 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 0 4 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 0 4 0 0 0 4 4 0 4 0 4 4 4 0 0 4 0 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 4 0 0 4 4 0 0 0 0 4 0 0 0 0 4 0 4 0 4 4 4 4 0 0 0 4 0 4 4 4 4 4 4 0 4 0 4 4 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 4 4 4 4 4 4 0 4 4 4 4 0 4 0 0 4 0 4 4 4 0 4 0 4 0 0 0 4 4 0 4 4 4 4 0 0 4 0 4 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 4 4 4 0 0 0 0 0 0 4 4 4 0 4 0 0 0 4 4 0 4 4 4 0 0 4 4 4 4 4 4 0 0 0 0 0 0 4 4 4 0 4 4 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 4 4 0 4 0 4 0 4 4 4 4 0 4 4 4 4 0 4 0 4 4 4 4 4 0 4 4 0 4 0 0 0 4 4 4 0 4 4 4 4 4 0 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 0 0 4 4 4 0 4 4 4 4 4 0 0 0 4 4 0 0 4 4 4 0 4 4 4 4 0 0 4 4 0 0 0 0 4 4 4 0 0 0 0 4 0 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 0 0 0 0 0 0 4 4 0 4 4 4 0 0 4 0 0 4 0 0 0 4 4 4 4 0 4 0 4 0 4 4 4 0 4 4 0 0 4 4 4 4 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+77x^52+6x^53+134x^54+36x^55+233x^56+126x^57+361x^58+352x^59+480x^60+926x^61+633x^62+2118x^63+793x^64+3756x^65+921x^66+4990x^67+910x^68+4956x^69+971x^70+3712x^71+825x^72+2134x^73+619x^74+956x^75+486x^76+350x^77+281x^78+118x^79+213x^80+32x^81+139x^82+6x^83+57x^84+2x^85+27x^86+14x^88+8x^90+6x^92+2x^94+1x^96 The gray image is a code over GF(2) with n=272, k=15 and d=104. This code was found by Heurico 1.16 in 71.6 seconds.