Prime p₀= 2596417955897589869 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2596416511559093491	0 16 28 30 46 88 90 156 232 298 300 342 358 360 372 388	-1444338496378
STPT(10)	2596416810397721921	0 2 36 38 78 80 120 122 156 158	-1145499867948
SPT(16)	2596416947764843571	0 26 32 56 78 162 186 198 200 212 236 320 342 366 372 398	-1008132746298
SPT(16)	2596416980834030357	0 2 6 20 42 50 56 72 104 120 126 134 156 170 174 176	-975063559512
SPT(16)	2596417177588355383	0 36 66 70 84 100 114 136 138 160 174 190 204 208 238 274	-778309234486
STPT(10)	2596417544307983489	0 2 30 32 60 62 90 92 120 122	-411589606380
STPT(10)	2596418162854575947	0 2 30 32 42 44 54 56 84 86	206956986078
STPT(10)	2596418222567407781	0 2 6 8 48 50 90 92 96 98	266669817912
SPT(16)	2596418374606635919	0 22 48 58 82 88 90 142 228 280 282 288 312 322 348 370	418709046050
TPT(14)	2596418742533408327	0 2 12 14 42 44 120 122 132 134 174 176 192 194	786635818458
SPT(16)	2596418937343814377	0 40 60 70 114 144 156 190 330 364 376 406 450 460 480 520	981446224508