Prime p₀= 798757120919430809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: declis
db: batch=73, k=10, 2 10 2 76 2

SPT(16)	798756289449171061	0 60 82 88 106 112 136 156 472 492 516 522 540 546 568 628	-831470259748
STPT(10)	798756507667239239	0 2 18 20 30 32 42 44 60 62	-613252191570
STPT(10)	798756662955229787	0 2 54 56 72 74 90 92 144 146	-457964201022
TPT(14)	798756827948700317	0 2 30 32 114 116 132 134 180 182 270 272 342 344	-292970730492
STPT(10)	798756970344569441	0 2 6 8 18 20 30 32 36 38	-150574861368
SPT(16)	798756981575503781	0 6 12 26 42 48 62 78 80 96 110 116 132 146 152 158	-139343927028
STPT(10)	798757140250375847	0 2 30 32 72 74 114 116 144 146	19330945038
SPT(18)	798757942813747519	0 18 28 114 124 130 208 210 228 304 322 324 402 408 418 504 514 532	821894316710
TPT(14)	798758630070507257	0 2 60 62 90 92 114 116 264 266 270 272 294 296	1509151076448
SPT(16)	798758735141275189	0 52 84 94 112 124 142 154 168 180 198 210 228 238 270 322	1614221844380
TPT(14)	798759229886617787	0 2 54 56 72 74 84 86 144 146 210 212 282 284	2108967186978