Prime p₀= 2390960805575749877 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: JonS
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2390959352673606697	0 10 76 100 126 136 142 166 210 234 240 250 276 300 366 376	-1452902143180
STPT(10)	2390959470976698407	0 2 30 32 60 62 90 92 120 122	-1334599051470
STPT(10)	2390959727909148761	0 2 30 32 78 80 126 128 156 158	-1077666601116
STPT(10)	2390959927149687071	0 2 6 8 48 50 90 92 96 98	-878426062806
TPT(14)	2390959939899748307	0 2 30 32 54 56 60 62 72 74 102 104 114 116	-865676001570
SPT(16)	2390960502771335461	0 36 82 180 246 256 310 352 360 402 456 466 532 630 676 712	-302804414416
SPT(16)	2390960814176819429	0 18 72 80 108 138 140 182 210 252 254 284 312 320 374 392	8601069552
STPT(10)	2390960917101905747	0 2 30 32 42 44 54 56 84 86	111526155870
TPT(14)	2390960975508750287	0 2 12 14 24 26 42 44 60 62 102 104 144 146	169933000410
SPT(16)	2390961029403321953	0 8 26 50 110 134 138 144 260 266 270 294 354 378 396 404	223827572076
STPT(10)	2390961234592729217	0 2 12 14 42 44 72 74 84 86	429016979340