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 2 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 4 1 0 1 2 1 1 1 4 4 1 4 4 1 1 1 0 12 0 12 0 12 0 12 8 4 0 12 4 0 8 12 8 12 8 4 0 0 12 4 0 8 0 8 12 12 4 4 0 0 0 8 12 0 12 4 4 8 0 0 12 12 4 8 12 12 8 12 8 8 8 12 12 4 12 8 8 0 12 0 4 4 12 12 12 12 12 12 4 12 0 12 4 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 8 8 0 0 0 8 8 8 0 8 8 0 0 8 0 0 0 0 8 8 8 0 0 8 8 8 0 0 0 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 0 0 8 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 8 0 0 8 0 8 8 8 8 0 8 0 8 0 8 8 8 0 0 0 0 8 0 8 8 0 8 0 8 8 8 0 8 8 8 8 0 0 0 8 0 8 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 8 0 8 0 0 8 8 8 8 8 0 0 0 8 0 8 0 0 0 8 8 8 8 0 8 8 8 8 0 0 8 0 0 8 0 0 8 0 8 8 0 0 8 8 0 0 8 0 0 8 8 0 8 8 8 0 0 0 8 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 0 0 0 0 0 8 0 0 8 0 8 8 0 8 8 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 0 8 8 0 8 8 0 8 0 8 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 0 8 8 0 8 0 0 8 8 8 8 8 8 8 0 8 0 8 0 0 0 0 8 0 0 0 8 8 0 0 0 0 8 0 8 0 0 0 0 8 8 8 8 0 8 8 8 8 8 0 8 0 0 8 0 8 0 8 0 0 8 0 8 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 8 8 8 8 8 0 8 0 8 8 0 0 8 8 0 0 8 8 0 8 8 8 0 0 0 8 0 0 0 0 8 8 8 0 0 8 0 8 8 0 0 0 0 0 8 8 0 0 0 0 8 0 8 0 0 8 8 0 8 0 8 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+26x^69+80x^70+32x^71+44x^72+68x^73+202x^74+148x^75+417x^76+754x^77+623x^78+754x^79+389x^80+142x^81+170x^82+66x^83+25x^84+28x^85+53x^86+22x^87+12x^88+6x^89+20x^90+2x^91+5x^92+3x^94+2x^96+1x^100+1x^134 The gray image is a code over GF(2) with n=624, k=12 and d=276. This code was found by Heurico 1.16 in 1.26 seconds.