Prime p₀= 2725995998676643961 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 8 58 12 30 32 36 42 10 2 58 2 10 42 36 32 30 12 58 8 (?)
a_n: 0 8 66 78 108 140 176 218 228 230 288 290 300 342 378 410 440 452 510 518
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 518
Found by: JayPi
db: batch=82, k=20, 8 58 12 30 32 36 42 10 2 58

SPT(16)	2725994669190427717	0 24 66 96 106 120 192 234 262 304 376 390 400 430 472 496	-1329486216244
SPT(16)	2725994910451624909	0 4 12 18 48 88 142 184 198 240 294 334 364 370 378 382	-1088225019052
SPT(16)	2725995006498807943	0 40 60 76 96 120 138 148 186 196 214 238 258 274 294 334	-992177836018
SPT(16)	2725995303780703817	0 44 56 74 80 92 234 252 284 302 444 456 462 480 492 536	-694895940144
SPT(16)	2725995395833469533	0 36 48 76 88 174 184 226 228 270 280 366 378 406 418 454	-602843174428
SPT(16)	2725995578883435497	0 56 84 92 144 146 174 204 212 242 270 272 324 332 360 416	-419793208464
SPT(16)	2725996078472106379	0 24 78 84 112 114 190 210 352 372 448 450 478 484 538 562	79795462418
STPT(10)	2725996148562766769	0 2 18 20 30 32 42 44 60 62	149886122808
SPT(16)	2725996178907026999	0 68 72 80 98 108 150 164 198 212 254 264 282 290 294 362	180230383038
STPT(10)	2725996196148232001	0 2 36 38 78 80 120 122 156 158	197471588040
SPT(16)	2725996408317184619	0 50 128 182 192 218 260 270 302 312 354 380 390 444 522 572	409640540658