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 2 1 4 1 2 2 1 2 0 4 1 0 1 2 1 4 2 2 1 8 4 4 1 1 8 4 2 4 2 1 4 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 8 4 12 4 4 8 4 0 8 8 12 12 8 4 4 4 12 0 8 8 0 8 8 4 8 4 4 8 4 0 8 12 12 0 0 12 0 12 4 0 12 0 8 4 8 4 4 12 0 12 12 8 8 4 0 8 8 0 4 12 4 4 4 8 8 8 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 8 8 12 12 0 4 8 8 4 4 0 12 12 8 12 12 0 0 8 8 8 12 4 12 12 12 12 0 0 8 4 8 0 4 4 0 4 12 8 4 8 4 8 4 12 4 4 8 12 4 12 8 12 8 8 12 4 4 12 4 0 12 0 12 12 4 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 12 4 4 12 0 12 8 12 4 8 8 0 0 4 8 4 4 12 8 4 8 12 4 0 8 8 12 8 0 8 12 4 12 12 12 4 12 0 8 4 0 4 8 0 0 12 12 12 4 0 12 12 4 12 0 4 12 4 12 8 0 4 8 8 8 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 4 4 4 8 0 12 8 0 12 0 8 8 12 4 8 4 0 0 0 8 12 8 8 12 8 0 0 12 0 4 0 4 4 8 0 4 0 8 0 0 0 12 0 8 0 12 0 12 4 8 4 0 4 8 12 4 8 4 0 8 0 0 4 0 4 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 0 0 0 8 8 8 0 0 0 8 0 0 8 8 8 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 8 0 0 8 0 8 8 8 8 0 8 8 0 0 0 8 8 8 8 8 0 8 0 0 8 0 8 8 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 8 0 8 0 8 0 8 8 0 8 8 8 8 0 0 0 0 0 8 8 8 0 8 8 0 8 8 8 0 0 8 0 0 0 8 8 8 0 8 8 0 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 8 0 8 8 0 8 0 0 0 8 0 8 0 0 8 8 0 8 8 8 0 8 0 8 0 0 8 0 0 8 8 0 0 0 0 8 8 8 8 8 0 0 0 0 8 8 8 0 8 0 8 0 8 8 0 0 0 8 0 0 0 8 8 generates a code of length 84 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+166x^72+4x^73+503x^74+40x^75+728x^76+212x^77+1136x^78+988x^79+1986x^80+1772x^81+3427x^82+3220x^83+4574x^84+2940x^85+3707x^86+1900x^87+1942x^88+928x^89+963x^90+244x^91+582x^92+32x^93+402x^94+8x^95+197x^96+89x^98+59x^100+11x^102+4x^104+2x^106+1x^116 The gray image is a code over GF(2) with n=672, k=15 and d=288. This code was found by Heurico 1.16 in 40.2 seconds.