Prime p₀= 2734867481888190499 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 30 24 4 122 28 36 6 8 96 10 96 8 6 36 28 122 4 24 30 (?)
a_n: 0 30 54 58 180 208 244 250 258 354 364 460 468 474 510 538 660 664 688 718
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: 718
Found by: JayPi
db: batch=82, k=20, 30 24 4 122 28 36 6 8 96 10

SPT(16)	2734866214606545497	0 20 44 56 126 144 156 176 210 230 242 260 330 342 366 386	-1267281645002
SPT(16)	2734866216184448407	0 10 34 46 76 84 106 112 144 150 172 180 210 222 246 256	-1265703742092
SPT(16)	2734866306807395597	0 2 6 14 20 42 96 162 194 260 314 336 342 350 354 356	-1175080794902
SPT(16)	2734866570287499629	0 44 48 78 114 198 204 230 402 428 434 518 554 584 588 632	-911600690870
STPT(10)	2734867182324443807	0 2 12 14 132 134 252 254 264 266	-299563746692
SPT(16)	2734867437797598989	0 14 98 110 152 174 218 230 342 354 398 420 462 474 558 572	-44090591510
STPT(10)	2734867909129453607	0 2 42 44 72 74 102 104 144 146	427241263108
SPT(16)	2734869055788762449	0 8 32 60 128 168 170 228 284 342 344 384 452 480 504 512	1573900571950
STPT(10)	2734869086590906127	0 2 120 122 210 212 300 302 420 422	1604702715628
STPT(10)	2734869225161729111	0 2 30 32 78 80 126 128 156 158	1743273538612
STPT(10)	2734870319687686379	0 2 12 14 90 92 168 170 180 182	2837799495880