Prime p₀= 3008840579997656249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	3008838089698064681	0 2 36 38 78 80 120 122 156 158	-2490299591568
TPT(14)	3008839349593871117	0 2 102 104 240 242 372 374 414 416 450 452 492 494	-1230403785132
STPT(10)	3008839350022226417	0 2 54 56 72 74 90 92 144 146	-1229975429832
TPT(14)	3008839561210949729	0 2 48 50 72 74 102 104 168 170 222 224 420 422	-1018786706520
SPT(16)	3008839729652897083	0 30 40 58 108 150 154 166 198 210 214 256 306 324 334 364	-850344759166
STPT(10)	3008840338356262349	0 2 18 20 30 32 42 44 60 62	-241641393900
STPT(10)	3008840994277047581	0 2 36 38 78 80 120 122 156 158	414279391332
SPT(16)	3008841213160277563	0 24 46 60 70 76 90 94 120 124 138 144 154 168 190 214	633162621314
STPT(10)	3008841374565976751	0 2 6 8 48 50 90 92 96 98	794568320502
SPT(16)	3008841480669182339	0 38 44 48 54 62 80 104 108 132 150 158 164 168 174 212	900671526090
SPT(16)	3008841531802464419	0 8 50 68 92 120 152 162 200 210 242 270 294 312 354 362	951804808170