Prime p₀= 1100065785539682821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: Theadalus
db: batch=76, k=10, 2 64 2 70 2

TPT(14)	1100062761666005789	0 2 12 14 42 44 78 80 168 170 210 212 252 254	-3023873677032
SPT(16)	1100063188310724191	0 60 72 78 98 126 156 212 276 332 362 390 410 416 428 488	-2597228958630
SPT(16)	1100063469019476817	0 4 10 34 52 84 100 144 160 204 220 252 270 294 300 304	-2316520206004
SPT(16)	1100063483383072501	0 10 52 60 108 138 150 238 252 340 352 382 430 438 480 490	-2302156610320
SPT(16)	1100063915544773899	0 24 30 52 102 114 142 150 202 210 238 250 300 322 328 352	-1869994908922
STPT(10)	1100064265131878771	0 2 6 8 48 50 90 92 96 98	-1520407804050
STPT(10)	1100066118304013459	0 2 18 20 30 32 42 44 60 62	332764330638
SPT(16)	1100066282915857819	0 28 34 42 58 60 64 102 130 168 172 174 190 198 204 232	497376174998
SPT(16)	1100066413118662469	0 12 18 90 128 134 258 282 410 434 558 564 602 674 680 692	627578979648
TPT(14)	1100066471496306341	0 2 66 68 96 98 126 128 156 158 186 188 228 230	685956623520
STPT(10)	1100066471496306407	0 2 30 32 60 62 90 92 120 122	685956623586