Prime p₀= 1117663372754768891 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JonS
db: batch=76, k=10, 2 4 2 10 2

TPT(14)	1117661744058373691	0 2 36 38 78 80 90 92 168 170 240 242 246 248	-1628696395200
STPT(10)	1117661776239691349	0 2 42 44 60 62 78 80 120 122	-1596515077542
STPT(10)	1117661818614052247	0 2 30 32 42 44 54 56 84 86	-1554140716644
SPT(16)	1117662495432423263	0 114 116 120 126 140 200 246 248 294 354 368 374 378 380 494	-877322345628
SPT(16)	1117662853925080583	0 30 38 44 68 80 168 200 234 266 354 366 390 396 404 434	-518829688308
SPT(16)	1117663049750524009	0 18 28 78 84 88 90 118 120 148 150 154 160 210 220 238	-323004244882
STPT(10)	1117663500480375857	0 2 84 86 162 164 240 242 324 326	127725606966
SPT(16)	1117663523694171427	0 46 54 64 106 112 120 166 210 256 264 270 312 322 330 376	150939402536
TPT(14)	1117664080540022567	0 2 12 14 24 26 30 32 54 56 60 62 114 116	707785253676
SPT(16)	1117664176457560243	0 4 18 70 78 106 108 154 180 226 228 256 264 316 330 334	803702791352
TPT(14)	1117664241827877089	0 2 12 14 90 92 150 152 168 170 192 194 210 212	869073108198