Prime p₀= 2956903435529232071 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

SPT(16)	2956901075784675977	0 84 86 96 102 156 192 200 276 284 320 374 380 390 392 476	-2359744556094
TPT(14)	2956901782368334679	0 2 102 104 138 140 240 242 258 260 462 464 468 470	-1653160897392
SPT(16)	2956901785934167567	0 6 40 52 72 126 132 136 216 220 226 280 300 312 346 352	-1649595064504
TPT(14)	2956902863856671459	0 2 30 32 72 74 78 80 90 92 270 272 288 290	-571672560612
STPT(10)	2956903054001535017	0 2 30 32 42 44 54 56 84 86	-381527697054
SPT(18)	2956903058135113531	0 16 22 30 42 90 96 126 198 250 322 352 358 406 418 426 432 448	-377394118540
SPT(16)	2956903500940810723	0 18 24 54 130 144 186 208 276 298 340 354 430 460 466 484	65411578652
SPT(16)	2956903633926930421	0 16 42 52 66 82 100 112 126 138 156 172 186 196 222 238	198397698350
STPT(10)	2956903643976013481	0 2 36 38 78 80 120 122 156 158	208446781410
SPT(16)	2956904107680072859	0 22 60 78 82 102 124 130 162 168 190 210 214 232 270 292	672150840788
SPT(16)	2956904393440232611	0 12 18 28 52 90 120 126 172 178 208 246 270 280 286 298	957911000540