Prime p₀= 2589163779972001847 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 66 6 14 16 2 28 102 38 102 28 2 16 14 6 66 (?)
a_n: 0 66 72 86 102 104 132 234 272 374 402 404 420 434 440 506
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: 506
Found by: JayPi
db: batch=82, k=16, 66 6 14 16 2 28 102 38

SPT(16)	2589162047858566261	0 28 70 72 76 102 130 148 180 198 226 252 256 258 300 328	-1732113435586
SPT(16)	2589162600112202969	0 84 138 150 152 180 240 290 312 362 422 450 452 464 518 602	-1179859798878
SPT(16)	2589162624616602227	0 32 50 74 102 114 116 140 246 270 272 284 312 336 354 386	-1155355399620
SPT(16)	2589162791546482787	0 12 20 26 62 80 122 132 164 174 216 234 270 276 284 296	-988425519060
SPT(16)	2589162890055797597	0 14 20 36 42 44 50 72 224 246 252 254 260 276 282 296	-889916204250
SPT(16)	2589163392676574639	0 48 90 98 120 122 168 198 392 422 468 470 492 500 542 590	-387295427208
SPT(16)	2589163888250722969	0 18 30 60 148 160 162 198 202 238 240 252 340 370 382 400	108278721122
SPT(16)	2589163936790210993	0 44 66 90 96 114 146 170 174 198 230 248 254 278 300 344	156818209146
SPT(16)	2589164025361749457	0 6 42 72 76 94 144 180 256 292 342 360 364 394 430 436	245389747610
SPT(16)	2589164092360000907	0 6 14 44 122 146 156 182 204 230 240 264 342 372 380 386	312387999060
SPT(13)	2589165287671657921	0 30 36 42 66 72 156 240 246 270 276 282 312	1507699656074