Prime p₀= 784714728668475851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: marsinph
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	784714071957627829	0 90 94 114 138 142 190 208 234 252 300 304 328 348 352 442	-656710848022
SPT(16)	784714294315868671	0 6 40 60 72 132 222 226 252 256 346 406 418 438 472 478	-434352607180
STPT(10)	784714533814535591	0 2 36 38 78 80 120 122 156 158	-194853940260
STPT(10)	784714582487289269	0 2 12 14 30 32 48 50 60 62	-146181186582
SPT(16)	784714664023396949	0 20 30 72 90 110 138 140 162 164 192 212 230 272 282 302	-64645078902
SPT(16)	784714715492515909	0 28 54 132 148 154 178 190 222 234 258 264 280 358 384 412	-13175959942
TPT(14)	784714853111419367	0 2 12 14 42 44 60 62 102 104 132 134 144 146	124442943516
STPT(10)	784715350409991347	0 2 12 14 42 44 72 74 84 86	621741515496
STPT(10)	784716187190610977	0 2 30 32 42 44 54 56 84 86	1458522135126
TPT(14)	784716326532061697	0 2 12 14 42 44 54 56 90 92 102 104 144 146	1597863585846
TPT(14)	784716427093330421	0 2 18 20 126 128 138 140 156 158 180 182 258 260	1698424854570