Prime p₀= 2291398973391848519 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: JayPi
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2291397014230906079	0 12 18 32 54 60 110 122 180 192 242 248 270 284 290 302	-1959160942440
STPT(10)	2291397298658910329	0 2 18 20 30 32 42 44 60 62	-1674732938190
SPT(16)	2291397351098316971	0 32 96 138 146 170 180 182 186 188 198 222 230 272 336 368	-1622293531548
SPT(16)	2291397643496258821	0 66 72 82 90 112 132 198 220 286 306 328 336 346 352 418	-1329895589698
SPT(16)	2291397981099599453	0 20 48 56 86 90 110 156 158 204 224 228 258 266 294 314	-992292249066
TPT(14)	2291398061135752937	0 2 60 62 102 104 222 224 240 242 264 266 294 296	-912256095582
SPT(16)	2291399097448972727	0 2 14 32 54 102 110 144 152 186 194 242 264 282 294 296	124057124208
SPT(16)	2291399210409175501	0 10 40 66 82 96 120 136 276 292 316 330 346 372 402 412	237017326982
TPT(14)	2291399331524182307	0 2 30 32 72 74 114 116 162 164 192 194 264 266	358132333788
STPT(10)	2291400160927159277	0 2 30 32 72 74 114 116 144 146	1187535310758
STPT(10)	2291400372057984797	0 2 30 32 42 44 54 56 84 86	1398666136278