Prime p₀= 2515515673942179047 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: raddoc
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2515514345688776153	0 14 24 68 116 156 170 200 204 234 248 288 336 380 390 404	-1328253402894
SPT(16)	2515514543510000677	0 10 12 16 36 154 166 184 192 210 222 340 360 364 366 376	-1130432178370
SPT(16)	2515514610268274621	0 26 30 68 108 110 122 128 180 186 198 200 240 278 282 308	-1063673904426
STPT(10)	2515514650184926079	0 2 18 20 30 32 42 44 60 62	-1023757252968
STPT(10)	2515514748582999719	0 2 48 50 90 92 132 134 180 182	-925359179328
STPT(10)	2515514866804602371	0 2 36 38 78 80 120 122 156 158	-807137576676
SPT(18)	2515515684545590343	0 18 30 60 134 140 156 194 224 240 270 308 324 330 404 434 446 464	10603411296
STPT(10)	2515516063582355567	0 2 30 32 42 44 54 56 84 86	389640176520
SPT(16)	2515516109457798067	0 12 22 82 84 124 186 222 244 280 342 382 384 444 454 466	435515619020
STPT(10)	2515516246076385161	0 2 30 32 78 80 126 128 156 158	572134206114
STPT(10)	2515516913783635121	0 2 6 8 48 50 90 92 96 98	1239841456074