Prime p₀= 1267982015020018349 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 40 2

STPT(10)	1267980987462206837	0 2 30 32 42 44 54 56 84 86	-1027557811512
TPT(14)	1267981180686106979	0 2 30 32 42 44 78 80 108 110 120 122 162 164	-834333911370
TPT(14)	1267981204263466169	0 2 42 44 72 74 120 122 168 170 198 200 222 224	-810756552180
STPT(10)	1267981204263466211	0 2 30 32 78 80 126 128 156 158	-810756552138
SPT(16)	1267981477842062587	0 6 22 36 42 64 66 84 112 130 132 154 160 174 190 196	-537177955762
SPT(16)	1267981532452985711	0 32 62 98 110 132 140 152 216 228 236 258 270 306 336 368	-482567032638
STPT(10)	1267982213066610869	0 2 18 20 60 62 102 104 120 122	198046592520
SPT(16)	1267982445768432059	0 50 54 78 102 110 138 168 194 224 252 260 284 308 312 362	430748413710
SPT(16)	1267982662237277003	0 26 54 68 90 96 98 134 180 216 218 224 246 260 288 314	647217258654
SPT(16)	1267982708651210249	0 12 54 80 104 144 168 230 312 374 398 438 462 488 530 542	693631191900
SPT(18)	1267982791373239699	0 4 24 28 42 64 72 90 102 160 172 190 198 220 234 238 258 262	776353221350