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 2 1 2 1 2 1 1 1 1 1 1 1 1 2 1 1 2 1 1 4 4 1 1 4 4 1 2 1 2 1 1 1 1 4 1 2 1 1 1 1 1 1 1 2 0 12 0 0 0 4 12 4 8 0 4 0 8 4 4 4 4 8 8 0 0 4 4 0 12 8 0 4 8 12 12 12 12 0 4 4 12 4 4 12 8 4 12 0 4 0 0 8 4 12 4 8 12 4 8 8 12 8 12 12 0 0 4 4 8 8 0 0 8 4 12 0 4 12 4 4 4 4 0 0 12 0 4 4 12 0 0 4 8 0 12 12 8 4 4 0 8 12 12 4 8 8 0 4 4 4 0 0 4 0 0 8 4 0 12 12 8 8 12 8 0 8 0 12 8 12 4 0 8 0 4 4 12 4 4 0 12 8 12 4 0 4 0 12 4 0 8 8 12 8 4 12 12 12 0 12 0 0 0 12 4 0 12 4 4 8 0 8 4 4 4 8 8 4 0 0 4 4 12 8 12 8 4 12 12 0 0 8 0 4 0 0 12 8 4 0 8 12 4 8 0 4 8 12 12 4 12 0 4 8 12 12 8 4 12 0 0 0 0 0 4 0 0 12 8 4 4 0 12 4 4 4 8 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 0 8 0 0 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 0 8 8 8 8 8 0 8 0 0 8 8 0 8 0 0 8 8 0 8 8 8 8 8 8 0 0 0 8 8 8 8 0 8 8 0 8 8 8 8 8 8 0 0 8 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 8 8 0 8 0 0 0 0 8 8 0 8 0 0 8 0 8 8 8 8 8 8 0 8 0 0 0 0 8 8 8 8 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 8 8 0 8 8 0 8 8 8 0 8 8 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 8 0 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 8 8 0 8 8 0 0 8 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 0 8 0 8 0 0 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+76x^69+107x^70+126x^71+151x^72+180x^73+301x^74+474x^75+770x^76+1232x^77+1551x^78+1230x^79+705x^80+430x^81+249x^82+146x^83+121x^84+82x^85+60x^86+56x^87+34x^88+38x^89+30x^90+12x^91+9x^92+10x^93+6x^94+4x^95+1x^128 The gray image is a code over GF(2) with n=624, k=13 and d=276. This code was found by Heurico 1.16 in 59.2 seconds.