Prime p₀= 1976116423146455657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	1976114905384370969	0 30 80 144 150 162 170 192 212 234 242 254 260 324 374 404	-1517762084688
STPT(10)	1976115192865196417	0 2 60 62 72 74 84 86 144 146	-1230281259240
STPT(10)	1976115430692229031	0 2 6 8 18 20 30 32 36 38	-992454226626
SPT(16)	1976115538711737551	0 6 18 60 78 98 120 122 126 128 150 170 188 230 242 248	-884434718106
STPT(10)	1976115562134143369	0 2 18 20 30 32 42 44 60 62	-861012312288
STPT(10)	1976115795329289137	0 2 30 32 42 44 54 56 84 86	-627817166520
SPT(16)	1976116484355632867	0 24 50 86 110 176 204 230 366 392 420 486 510 546 572 596	61209177210
SPT(16)	1976116568406165457	0 34 46 72 90 94 142 172 264 294 342 346 364 390 402 436	145259709800
SPT(16)	1976117025824076701	0 48 66 80 98 132 222 228 230 236 326 360 378 392 410 458	602677621044
TPT(14)	1976117053349942309	0 2 30 32 48 50 78 80 240 242 252 254 300 302	630203486652
STPT(10)	1976117439697443851	0 2 6 8 48 50 90 92 96 98	1016550988194