Prime p₀= 4547142562796756171 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 78 38 24 16 66 20 10 44 10 20 66 16 24 38 78 (?)
a_n: 0 78 116 140 156 222 242 252 296 306 326 392 408 432 470 548
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: 548
Found by: Stony666
db: batch=85, k=16, 78 38 24 16 66 20 10 44

SPT(18)	4547140942038496913	0 20 24 30 74 86 146 156 180 200 224 234 294 306 350 356 360 380	-1620758259258
SPT(16)	4547141199426078907	0 12 16 24 52 54 70 82 84 96 112 114 142 150 154 166	-1363370677264
SPT(16)	4547141513795725043	0 30 84 96 104 134 156 174 260 278 300 330 338 350 404 434	-1049001031128
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	-707790148602
STPT(10)	4547142020306672921	0 2 36 38 78 80 120 122 156 158	-542490083250
STPT(10)	4547142490817696657	0 2 30 32 42 44 54 56 84 86	-71979059514
SPT(16)	4547143341694582487	0 36 56 96 104 144 146 176 234 264 266 306 314 354 374 410	778897826316
SPT(16)	4547143521243430033	0 10 34 36 78 94 120 136 138 154 180 196 238 240 264 274	958446673862
SPT(16)	4547144100876653011	0 16 42 60 72 82 102 196 222 316 336 346 358 376 402 418	1538079896840
STPT(10)	4547144313014663147	0 2 60 62 72 74 84 86 144 146	1750217906976
STPT(10)	4547145523178928881	0 2 30 32 78 80 126 128 156 158	2960382172710