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 2 2 2 2 2 1 1 4 1 2 1 1 2 1 2 4 1 0 4 1 1 1 1 8 1 8 8 1 1 2 1 4 1 4 1 2 4 1 1 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 4 12 12 8 0 12 0 0 12 12 0 12 8 12 8 12 0 12 4 12 0 12 8 8 0 0 8 8 0 8 8 0 0 8 12 8 0 0 12 8 0 4 4 8 4 0 12 0 12 4 4 4 4 8 8 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 4 4 0 12 8 0 12 12 0 0 8 4 12 12 12 12 12 8 0 8 12 4 8 12 8 8 4 4 12 4 8 0 8 0 0 12 0 0 0 4 4 4 12 4 4 4 12 12 4 8 4 12 12 8 12 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 0 4 4 8 4 8 8 12 8 4 4 0 4 4 0 12 0 8 4 8 8 12 8 12 8 4 12 8 8 0 4 12 12 4 8 12 0 0 12 12 4 8 0 0 12 8 12 8 0 0 0 8 8 8 8 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 8 0 8 8 8 0 8 8 0 0 0 8 0 0 8 0 0 8 8 0 0 8 0 0 8 8 0 0 8 0 8 8 0 8 8 8 8 8 0 0 8 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 0 8 0 8 8 8 0 8 8 0 8 8 8 8 8 8 8 8 8 8 0 8 8 0 0 0 0 8 0 0 0 8 0 8 8 0 8 8 8 8 0 8 8 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 8 0 8 0 0 0 8 0 0 8 0 0 8 8 8 0 8 8 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 8 8 8 0 8 8 8 0 8 0 8 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 8 0 8 0 8 8 0 0 0 8 8 8 8 8 8 0 0 8 0 8 0 8 0 8 0 0 8 0 8 8 0 0 8 0 8 8 8 8 0 8 8 8 0 8 8 8 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+210x^68+4x^69+384x^70+64x^71+547x^72+344x^73+878x^74+992x^75+1942x^76+1664x^77+2498x^78+1664x^79+1869x^80+1000x^81+872x^82+352x^83+445x^84+60x^85+262x^86+171x^88+80x^90+48x^92+16x^94+12x^96+2x^98+2x^100+1x^116 The gray image is a code over GF(2) with n=624, k=14 and d=272. This code was found by Heurico 1.16 in 10.3 seconds.