Prime p₀= 2312035574907077867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2312034848122199819	0 2 90 92 150 152 210 212 300 302	-726784878048
SPT(16)	2312034974580594517	0 24 36 42 46 102 112 172 174 234 244 300 304 310 322 346	-600326483350
STPT(10)	2312035119196701131	0 2 30 32 78 80 126 128 156 158	-455710376736
STPT(10)	2312035138160133941	0 2 36 38 78 80 120 122 156 158	-436746943926
SPT(16)	2312035302005110469	0 8 98 170 194 242 284 288 344 348 390 438 462 534 624 632	-272901967398
SPT(16)	2312035447912852861	0 36 58 70 78 108 136 150 196 210 238 268 276 288 310 346	-126994225006
SPT(16)	2312035696888312621	0 6 10 48 108 118 172 210 238 276 330 340 400 438 442 448	121981234754
SPT(16)	2312035926543108487	0 36 52 82 124 156 184 186 190 192 220 252 294 324 340 376	351636030620
SPT(16)	2312035963610771219	0 12 38 78 98 104 120 138 164 182 198 204 224 264 290 302	388703693352
SPT(16)	2312036475137382883	0 18 40 70 88 114 120 138 196 214 220 246 264 294 316 334	900230305016
STPT(10)	2312036982399309701	0 2 6 8 48 50 90 92 96 98	1407492231834