Prime p₀= 800576292117012137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: schoussi
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	800573405732463287	0 2 12 14 42 44 72 74 84 86	-2886384548850
STPT(10)	800574666248432639	0 2 48 50 90 92 132 134 180 182	-1625868579498
SPT(16)	800575126655536367	0 2 62 66 114 156 170 182 384 396 410 452 500 504 564 566	-1165461475770
SPT(16)	800575232710892407	0 82 112 114 126 156 186 192 214 220 250 280 292 294 324 406	-1059406119730
SPT(16)	800575282926904519	0 12 30 60 82 88 102 112 168 178 192 198 220 250 268 280	-1009190107618
SPT(16)	800576003210742793	0 28 30 48 66 100 138 178 198 238 276 310 328 346 348 376	-288906269344
SPT(16)	800576367003054493	0 10 48 70 78 90 124 148 150 174 208 220 228 250 288 298	74886042356
STPT(10)	800576406857485541	0 2 6 8 48 50 90 92 96 98	114740473404
TPT(16)	800576477471885591	0 2 78 80 138 140 168 170 198 200 240 242 330 332 360 362	185354873454
SPT(16)	800576582190843631	0 46 60 66 96 108 148 172 186 210 250 262 292 298 312 358	290073831494
SPT(16)	800576772220559759	0 20 38 54 68 74 78 90 152 164 168 174 188 204 222 242	480103547622