Prime p₀= 4547143521243430033 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 24 2 42 16 26 16 2 16 26 16 42 2 24 10 (?)
a_n: 0 10 34 36 78 94 120 136 138 154 180 196 238 240 264 274
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 274
Found by: Stony666
db: batch=85, k=16, 10 24 2 42 16 26 16 2

SPT(16)	4547141513795725043	0 30 84 96 104 134 156 174 260 278 300 330 338 350 404 434	-2007447704990
SPT(22)	4547141855006607569	0 42 74 102 114 140 144 170 182 188 192 230 234 240 252 278 282 308 320 348 380 422	-1666236822464
STPT(10)	4547142020306672921	0 2 36 38 78 80 120 122 156 158	-1500936757112
STPT(10)	4547142490817696657	0 2 30 32 42 44 54 56 84 86	-1030425733376
SPT(16)	4547142562796756171	0 78 116 140 156 222 242 252 296 306 326 392 408 432 470 548	-958446673862
SPT(16)	4547143341694582487	0 36 56 96 104 144 146 176 234 264 266 306 314 354 374 410	-179548847546
SPT(16)	4547144100876653011	0 16 42 60 72 82 102 196 222 316 336 346 358 376 402 418	579633222978
STPT(10)	4547144313014663147	0 2 60 62 72 74 84 86 144 146	791771233114
STPT(10)	4547145523178928881	0 2 30 32 78 80 126 128 156 158	2001935498848
SPT(16)	4547145650110521323	0 20 90 108 110 140 186 188 306 308 354 384 386 404 474 494	2128867091290
STPT(10)	4547145931634041859	0 2 12 14 30 32 48 50 60 62	2410390611826