Prime p₀= 2956903643976013481 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: ginga
db: batch=82, k=10, 2 34 2 40 2

TPT(14)	2956902863856671459	0 2 30 32 72 74 78 80 90 92 270 272 288 290	-780119342022
STPT(10)	2956903054001535017	0 2 30 32 42 44 54 56 84 86	-589974478464
SPT(18)	2956903058135113531	0 16 22 30 42 90 96 126 198 250 322 352 358 406 418 426 432 448	-585840899950
STPT(10)	2956903435529232071	0 2 36 38 78 80 120 122 156 158	-208446781410
SPT(16)	2956903500940810723	0 18 24 54 130 144 186 208 276 298 340 354 430 460 466 484	-143035202758
SPT(16)	2956903633926930421	0 16 42 52 66 82 100 112 126 138 156 172 186 196 222 238	-10049083060
SPT(16)	2956904107680072859	0 22 60 78 82 102 124 130 162 168 190 210 214 232 270 292	463704059378
SPT(16)	2956904393440232611	0 12 18 28 52 90 120 126 172 178 208 246 270 280 286 298	749464219130
STPT(10)	2956904605728729527	0 2 42 44 132 134 222 224 264 266	961752716046
SPT(16)	2956904614899900817	0 6 42 54 60 64 66 106 150 190 192 196 202 214 250 256	970923887336
STPT(10)	2956904710162131887	0 2 12 14 72 74 132 134 144 146	1066186118406