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 1 1 1 1 1 1 1 1 2 2 4 2 2 4 4 0 1 1 2 4 8 1 2 2 2 2 4 1 2 1 1 1 0 2 0 2 1 2 4 2 4 1 0 12 0 0 0 0 0 0 0 0 0 8 8 8 12 4 12 12 4 4 8 12 4 8 0 0 4 12 4 12 4 12 12 4 4 4 0 4 12 8 4 4 4 8 8 12 8 8 8 8 0 4 8 8 4 0 8 0 0 8 12 12 8 4 12 4 8 12 12 12 0 0 0 0 12 8 8 4 4 0 0 0 0 12 0 0 0 0 0 0 0 4 4 4 0 0 8 12 4 12 4 4 8 12 4 12 4 0 0 12 8 12 8 12 4 0 8 4 0 12 12 8 4 12 12 8 8 4 0 12 8 12 8 12 12 12 4 12 8 0 8 0 8 0 4 4 12 0 12 4 4 8 0 4 0 0 12 12 4 8 12 12 0 0 0 12 0 0 0 4 12 12 4 4 0 8 4 12 12 8 0 8 8 0 4 4 0 12 0 0 8 4 4 12 12 12 8 0 4 8 0 0 8 12 8 8 12 12 12 12 8 4 8 0 12 4 4 4 12 12 12 4 12 4 12 12 12 12 0 0 4 8 12 4 4 4 0 4 8 12 4 8 0 0 0 0 0 12 0 4 4 4 0 8 0 8 8 8 0 8 12 12 8 12 12 8 12 4 12 12 0 8 12 4 4 12 0 4 0 4 0 0 0 12 8 12 0 8 12 8 4 0 0 0 12 8 12 4 12 0 12 0 4 12 4 8 0 0 0 12 8 0 12 8 0 0 8 0 0 12 12 0 12 8 0 0 0 0 0 12 4 8 4 4 0 4 4 8 4 0 0 8 12 4 4 8 4 12 0 8 12 12 8 4 0 8 12 4 0 0 0 4 12 4 12 0 0 0 0 12 0 0 4 4 8 8 8 12 12 4 4 12 8 0 12 8 12 4 0 4 4 12 8 12 8 8 4 8 12 0 4 8 8 12 0 0 0 0 0 0 0 8 8 0 8 8 0 8 8 0 8 0 0 8 0 0 8 8 8 8 0 0 8 8 8 8 0 8 0 0 8 8 0 8 0 8 8 8 8 8 0 0 8 0 8 0 8 8 0 0 0 8 8 0 0 8 0 0 8 0 0 0 0 8 0 8 8 8 0 8 8 8 0 8 0 8 generates a code of length 81 over Z16 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+86x^69+189x^70+234x^71+249x^72+446x^73+597x^74+748x^75+936x^76+1558x^77+2375x^78+3124x^79+3969x^80+3986x^81+3836x^82+3216x^83+2170x^84+1632x^85+1125x^86+600x^87+445x^88+360x^89+253x^90+218x^91+132x^92+108x^93+61x^94+50x^95+31x^96+16x^97+10x^98+2x^99+2x^100+2x^102+1x^112 The gray image is a code over GF(2) with n=648, k=15 and d=276. This code was found by Heurico 1.16 in 38.5 seconds.