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 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 12 1 1 2 1 1 1 1 0 1 1 1 1 1 2 12 1 1 2 1 1 0 1 0 1 1 0 2 2 1 1 1 1 1 0 2 12 6 0 6 12 10 0 6 12 10 10 4 6 0 14 8 10 12 6 0 10 12 6 2 8 14 2 4 0 6 12 10 2 12 10 0 10 0 10 6 2 2 4 6 14 6 12 2 2 14 2 10 12 14 10 2 8 0 6 6 6 2 4 4 12 12 2 10 4 0 10 10 8 12 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 8 8 0 0 8 8 8 8 0 8 8 0 0 0 8 8 8 0 0 8 8 0 8 0 8 8 8 0 8 8 0 0 0 0 0 8 8 0 0 8 0 0 0 0 8 8 0 8 0 0 8 8 8 0 8 0 0 0 8 0 0 0 0 0 8 8 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 0 8 8 8 0 0 0 8 0 0 8 0 8 8 8 8 0 8 8 0 0 0 0 8 8 0 8 8 0 0 0 0 0 8 0 8 0 8 0 0 8 8 8 8 0 8 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0 8 8 0 0 8 0 8 0 8 0 8 0 8 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 0 8 8 8 8 0 8 8 8 8 0 0 0 8 0 0 0 0 0 0 8 8 8 0 8 8 0 0 8 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 8 0 0 8 0 8 8 8 8 8 8 8 0 0 8 0 0 0 8 0 0 8 0 0 0 8 0 8 8 8 8 0 8 8 0 8 8 8 8 8 0 8 8 8 0 8 8 8 8 8 0 8 0 0 0 8 0 8 0 8 0 0 0 0 0 0 8 0 8 0 8 0 0 0 8 0 8 8 8 0 8 8 0 8 8 8 0 0 8 0 0 0 0 0 8 0 0 8 8 8 0 0 8 8 0 8 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 8 0 8 8 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 0 8 8 8 8 0 8 8 8 0 8 8 8 8 0 8 0 0 8 0 8 8 0 8 0 0 8 0 8 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 0 0 8 8 8 generates a code of length 76 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+163x^68+258x^70+104x^71+540x^72+720x^73+378x^74+1720x^75+425x^76+1760x^77+406x^78+728x^79+513x^80+80x^81+222x^82+8x^83+108x^84+16x^86+24x^88+14x^92+2x^96+1x^100+1x^124 The gray image is a code over GF(2) with n=608, k=13 and d=272. This code was found by Heurico 1.16 in 9.67 seconds.