Prime p₀= 1016612639358104609 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: HenkM
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1016611051491632383	0 48 54 66 70 76 90 120 124 154 168 174 178 190 196 244	-1587866472226
STPT(10)	1016611337299711607	0 2 24 26 42 44 60 62 84 86	-1302058393002
SPT(16)	1016611471512591293	0 78 80 120 138 140 218 230 294 306 384 386 404 444 446 524	-1167845513316
STPT(10)	1016611727353086419	0 2 18 20 60 62 102 104 120 122	-912005018190
STPT(10)	1016612148895899287	0 2 30 32 42 44 54 56 84 86	-490462205322
SPT(16)	1016612618616038797	0 34 124 150 166 174 192 220 276 304 322 330 346 372 462 496	-20742065812
STPT(10)	1016612788963928909	0 2 18 20 30 32 42 44 60 62	149605824300
SPT(16)	1016613148458449833	0 16 48 54 78 126 154 180 184 210 238 286 310 316 348 364	509100345224
SPT(16)	1016613206516038601	0 2 38 56 78 98 108 222 236 350 360 380 402 420 456 458	567157933992
SPT(16)	1016613410995972211	0 8 30 48 66 120 126 156 182 212 218 272 290 308 330 338	771637867602
STPT(10)	1016613425705133797	0 2 30 32 72 74 114 116 144 146	786347029188