Prime p₀= 2956904605728729527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Asgard2022
db: batch=82, k=10, 2 40 2 88 2

STPT(10)	2956903435529232071	0 2 36 38 78 80 120 122 156 158	-1170199497456
SPT(16)	2956903500940810723	0 18 24 54 130 144 186 208 276 298 340 354 430 460 466 484	-1104787918804
SPT(16)	2956903633926930421	0 16 42 52 66 82 100 112 126 138 156 172 186 196 222 238	-971801799106
STPT(10)	2956903643976013481	0 2 36 38 78 80 120 122 156 158	-961752716046
SPT(16)	2956904107680072859	0 22 60 78 82 102 124 130 162 168 190 210 214 232 270 292	-498048656668
SPT(16)	2956904393440232611	0 12 18 28 52 90 120 126 172 178 208 246 270 280 286 298	-212288496916
SPT(16)	2956904614899900817	0 6 42 54 60 64 66 106 150 190 192 196 202 214 250 256	9171171290
STPT(10)	2956904710162131887	0 2 12 14 72 74 132 134 144 146	104433402360
STPT(10)	2956905320390264051	0 2 6 8 48 50 90 92 96 98	714661534524
SPT(16)	2956905345131814199	0 28 60 118 160 210 238 258 292 312 340 390 432 490 522 550	739403084672
STPT(10)	2956905352384706909	0 2 18 20 30 32 42 44 60 62	746655977382