Prime p₀= 798903951731296457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 10 2 58 2

SPT(16)	798903029210651279	0 50 62 78 120 140 200 248 414 462 522 542 584 600 612 662	-922520645178
STPT(10)	798903189567385829	0 2 12 14 90 92 168 170 180 182	-762163910628
SPT(16)	798903220032498001	0 28 40 66 108 130 150 196 210 256 276 298 340 366 378 406	-731698798456
SPT(18)	798903722580618029	0 30 44 48 60 68 140 144 204 278 338 342 414 422 434 438 452 482	-229150678428
SPT(16)	798903792888959311	0 10 22 58 78 88 112 142 156 186 210 220 240 276 288 298	-158842337146
SPT(16)	798903896985867011	0 30 42 66 72 78 98 108 110 120 140 146 152 176 188 218	-54745429446
SPT(16)	798904126023391693	0 48 60 84 90 96 126 198 226 298 328 334 340 364 376 424	174292095236
TPT(16)	798904230373246091	0 2 6 8 48 50 66 68 108 110 120 122 306 308 336 338	278641949634
SPT(16)	798904442743628707	0 6 36 82 132 136 160 166 246 252 276 280 330 376 406 412	491012332250
STPT(10)	798904600743965531	0 2 6 8 48 50 90 92 96 98	649012669074
SPT(16)	798904920454155413	0 48 66 86 108 120 156 236 318 398 434 446 468 488 506 554	968722858956