Prime p₀= 1268970909346252337 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: mikey
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1268969989348825811	0 42 50 60 78 98 146 150 218 222 270 290 308 318 326 368	-919997426526
STPT(10)	1268970452446047119	0 2 18 20 30 32 42 44 60 62	-456900205218
SPT(16)	1268970535021171309	0 18 34 40 78 144 162 174 208 220 238 304 342 348 364 382	-374325081028
SPT(16)	1268970624565391311	0 28 40 72 76 100 132 142 156 166 198 222 226 258 270 298	-284780861026
STPT(10)	1268970654478880531	0 2 6 8 48 50 90 92 96 98	-254867371806
SPT(16)	1268970701520827587	0 22 24 66 84 126 156 172 174 190 220 262 280 322 324 346	-207825424750
SPT(16)	1268970980411143883	0 14 18 20 54 56 66 98 156 188 198 200 234 236 240 254	71064891546
STPT(10)	1268970989477289641	0 2 6 8 48 50 90 92 96 98	80131037304
SPT(16)	1268971322531466991	0 16 40 42 52 106 120 126 136 142 156 210 220 222 246 262	413185214654
TPT(14)	1268971323996641411	0 2 66 68 108 110 150 152 210 212 240 242 276 278	414650389074
TPT(14)	1268971371006061271	0 2 6 8 66 68 108 110 150 152 180 182 246 248	461659808934