Prime p₀= 779044181785747247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	779042768084998541	0 36 60 62 66 122 132 150 218 236 246 302 306 308 332 368	-1413700748706
SPT(16)	779042773309540451	0 18 26 50 78 96 110 126 242 258 272 290 318 342 350 368	-1408476206796
STPT(12)	779043117770709809	0 2 12 14 42 44 90 92 120 122 132 134	-1064015037438
SPT(16)	779043459144134581	0 12 28 48 60 88 108 126 172 190 210 238 250 270 286 298	-722641612666
SPT(16)	779043616065612299	0 30 54 62 98 114 128 264 308 444 458 474 510 518 542 572	-565720134948
STPT(10)	779043727419186137	0 2 30 32 42 44 54 56 84 86	-454366561110
SPT(16)	779044291997145641	0 8 62 90 98 108 132 140 210 218 242 252 260 288 342 350	110211398394
SPT(16)	779044380935345561	0 12 18 38 60 92 108 126 152 170 186 218 240 260 266 278	199149598314
SPT(16)	779044466770689611	0 20 56 66 72 86 116 140 192 216 246 260 266 276 312 332	284984942364
STPT(10)	779044742906518547	0 2 30 32 42 44 54 56 84 86	561120771300
SPT(16)	779044857036199573	0 46 78 88 106 144 166 228 256 318 340 378 396 406 438 484	675250452326