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 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 4 1 0 2 2 1 0 1 4 4 4 8 2 1 2 4 1 2 0 12 0 4 0 0 4 12 8 12 0 12 0 8 12 12 0 8 4 12 0 12 4 0 12 12 8 0 4 8 8 12 0 12 8 4 4 0 8 0 0 4 8 12 4 0 0 12 8 0 4 4 0 4 0 12 8 4 0 12 4 4 12 8 12 4 8 4 4 12 4 12 4 12 12 12 12 0 0 12 4 0 12 4 8 4 4 0 0 8 12 12 8 0 4 4 4 4 0 8 0 0 8 4 0 4 0 8 8 4 4 12 8 12 8 8 8 12 12 12 0 8 4 12 4 0 8 12 0 0 4 12 4 4 4 4 8 4 0 0 4 12 0 8 4 4 0 12 4 12 12 0 12 0 0 0 0 8 0 0 0 0 0 8 0 8 8 8 8 8 8 8 0 8 8 0 8 8 0 8 8 8 8 8 0 8 0 8 8 8 8 0 0 8 8 0 8 0 0 8 0 0 8 8 8 8 0 8 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 8 8 8 8 0 0 0 0 0 8 0 0 8 8 8 0 8 8 8 8 0 8 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 0 8 0 0 0 8 0 0 8 0 8 8 0 0 8 8 8 8 0 8 0 0 0 8 0 8 8 8 0 8 0 8 0 0 0 8 0 8 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 0 8 0 8 8 8 0 0 0 8 8 8 0 8 0 0 8 8 8 8 0 8 0 0 8 8 0 0 0 0 0 8 0 8 0 0 8 8 8 0 0 8 8 8 8 8 0 8 8 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 8 0 8 0 8 0 0 0 8 8 8 8 8 0 0 8 8 8 0 8 0 0 8 8 0 8 8 8 8 0 8 8 0 8 8 8 0 0 0 8 0 8 0 0 8 0 8 8 8 0 0 0 8 0 8 0 0 8 0 8 8 8 0 8 8 0 8 generates a code of length 77 over Z16 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+58x^69+65x^70+90x^71+124x^72+200x^73+314x^74+434x^75+539x^76+552x^77+526x^78+402x^79+295x^80+178x^81+100x^82+54x^83+52x^84+24x^85+17x^86+36x^87+11x^88+6x^89+2x^90+8x^91+1x^92+6x^93+1x^120 The gray image is a code over GF(2) with n=616, k=12 and d=276. This code was found by Heurico 1.16 in 1.09 seconds.