Prime p₀= 2854321302143452637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2854319983931618617	0 16 46 72 106 132 186 246 310 370 424 450 484 510 540 556	-1318211834020
STPT(10)	2854320374154509147	0 2 30 32 42 44 54 56 84 86	-927988943490
SPT(16)	2854320860259807089	0 2 72 74 84 120 144 152 162 170 194 230 240 242 312 314	-441883645548
STPT(10)	2854320863710877381	0 2 6 8 18 20 30 32 36 38	-438432575256
SPT(16)	2854320865896417017	0 6 42 62 84 116 146 174 182 210 240 272 294 314 350 356	-436247035620
SPT(16)	2854321029662391617	0 6 14 26 54 116 132 146 180 194 210 272 300 312 320 326	-272481061020
SPT(16)	2854322282035832989	0 10 58 64 84 120 138 150 208 220 238 274 294 300 348 358	979892380352
SPT(16)	2854322598718069931	0 8 26 30 62 86 96 138 170 212 222 246 278 282 300 308	1296574617294
STPT(10)	2854322882001224087	0 2 24 26 42 44 60 62 84 86	1579857771450
SPT(16)	2854322954449929091	0 52 90 100 132 138 180 342 436 598 640 646 678 688 726 778	1652306476454
STPT(10)	2854322986149264587	0 2 24 26 42 44 60 62 84 86	1684005811950