Prime p₀= 779043616065612299 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 24 8 36 16 14 136 44 136 14 16 36 8 24 30 (?)
a_n: 0 30 54 62 98 114 128 264 308 444 458 474 510 518 542 572
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 572
Found by: [SG-2W]Kurzer
db: batch=73, k=16, 30 24 8 36 16 14 136 44

SPT(16)	779042666818156841	0 2 66 72 116 126 140 150 182 192 206 216 260 266 330 332	-949247455458
STPT(10)	779042673721548989	0 2 18 20 30 32 42 44 60 62	-942344063310
SPT(16)	779042768084998541	0 36 60 62 66 122 132 150 218 236 246 302 306 308 332 368	-847980613758
SPT(16)	779042773309540451	0 18 26 50 78 96 110 126 242 258 272 290 318 342 350 368	-842756071848
STPT(12)	779043117770709809	0 2 12 14 42 44 90 92 120 122 132 134	-498294902490
SPT(16)	779043459144134581	0 12 28 48 60 88 108 126 172 190 210 238 250 270 286 298	-156921477718
STPT(10)	779043727419186137	0 2 30 32 42 44 54 56 84 86	111353573838
STPT(10)	779044181785747247	0 2 30 32 42 44 54 56 84 86	565720134948
SPT(16)	779044291997145641	0 8 62 90 98 108 132 140 210 218 242 252 260 288 342 350	675931533342
SPT(16)	779044380935345561	0 12 18 38 60 92 108 126 152 170 186 218 240 260 266 278	764869733262
SPT(16)	779044466770689611	0 20 56 66 72 86 116 140 192 216 246 260 266 276 312 332	850705077312