Prime p₀= 3437728437721220353 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 6 40 18 12 24 6 18 32 34 200 34 32 18 6 24 12 18 40 6 (?)
a_n: 0 6 46 64 76 100 106 124 156 190 390 424 456 474 480 504 516 534 574 580
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: 580
Found by: Coleslaw
db: batch=83, k=20, 6 40 18 12 24 6 18 32 34 200

SPT(16)	3437728030639146971	0 2 86 140 182 236 240 272 306 338 342 396 438 492 576 578	-407082073382
TPT(14)	3437728037138399777	0 2 24 26 84 86 132 134 192 194 234 236 420 422	-400582820576
STPT(10)	3437728049892072647	0 2 12 14 42 44 72 74 84 86	-387829147706
SPT(16)	3437728070171654059	0 52 78 120 138 160 180 190 210 220 240 262 280 322 348 400	-367549566294
SPT(16)	3437728236786361267	0 40 46 52 84 126 154 166 210 222 250 292 324 330 336 376	-200934859086
SPT(16)	3437728358811746767	0 4 6 42 52 66 82 94 162 174 190 204 214 250 252 256	-78909473586
SPT(16)	3437728478313917341	0 16 52 72 78 108 138 168 250 280 310 340 346 366 402 418	40592696988
SPT(16)	3437728523941710751	0 12 42 58 82 168 240 258 322 340 412 498 522 538 568 580	86220490398
SPT(16)	3437728634227020751	0 16 18 28 48 70 126 142 216 232 288 310 330 340 342 358	196505800398
SPT(16)	3437728816629358639	0 34 114 120 124 168 190 202 240 252 274 318 322 328 408 442	378908138286
SPT(16)	3437728925131207867	0 4 10 52 90 96 102 112 114 124 130 136 174 216 222 226	487409987514