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 2 2 1 4 8 1 2 2 2 4 4 2 1 1 2 2 2 4 0 2 1 0 2 1 1 1 1 2 2 2 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 4 8 8 12 4 0 4 4 8 0 4 4 8 4 8 4 0 8 0 12 0 12 12 0 8 4 0 0 8 8 12 12 0 0 0 8 4 0 4 0 12 4 8 8 4 12 4 12 12 8 4 12 12 0 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 0 12 8 0 8 4 4 8 4 4 0 4 0 4 8 8 8 0 4 4 4 8 0 12 0 0 0 8 8 12 12 0 8 4 0 8 4 4 4 4 4 8 4 0 12 0 12 4 12 12 0 4 4 0 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 4 0 12 12 4 8 8 8 12 12 4 12 0 0 4 4 8 4 4 12 12 8 0 12 4 4 4 8 8 8 12 4 0 4 4 0 4 8 8 12 8 0 12 8 8 12 4 12 0 12 12 12 8 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 0 8 4 4 4 4 8 8 0 4 8 12 4 4 4 12 0 0 8 4 4 0 4 0 12 0 4 4 0 4 4 12 8 12 12 0 4 8 0 8 8 8 0 4 4 0 8 12 8 12 0 0 8 8 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 0 8 8 8 8 8 8 8 0 0 8 8 0 8 0 8 8 8 0 8 0 8 8 8 0 0 0 8 0 0 8 8 8 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 0 8 8 8 0 8 8 8 0 0 0 0 8 8 0 8 8 8 0 8 0 0 8 8 8 0 0 0 0 0 0 0 8 0 8 0 0 0 8 0 0 8 8 0 0 0 8 0 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 0 8 0 0 8 8 8 0 8 0 8 8 0 8 0 0 8 8 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 0 8 0 8 0 8 0 0 8 0 0 0 8 0 8 8 0 0 generates a code of length 72 over Z16 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+73x^60+116x^61+194x^62+260x^63+383x^64+478x^65+564x^66+806x^67+1267x^68+2060x^69+3331x^70+4524x^71+4752x^72+4490x^73+3380x^74+2062x^75+1291x^76+758x^77+519x^78+422x^79+332x^80+228x^81+168x^82+100x^83+89x^84+50x^85+26x^86+18x^87+4x^88+12x^89+8x^90+1x^94+1x^102 The gray image is a code over GF(2) with n=576, k=15 and d=240. This code was found by Heurico 1.16 in 32.1 seconds.