Prime p₀= 2532712890547638257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2532711886272076871	0 20 36 96 98 120 152 168 200 216 248 270 272 332 348 368	-1004275561386
SPT(16)	2532711903817081879	0 18 28 54 112 168 180 222 280 322 334 390 448 474 484 502	-986730556378
SPT(16)	2532712111118078563	0 64 66 78 90 136 144 150 154 160 168 214 226 238 240 304	-779429559694
SPT(16)	2532712474187518253	0 24 30 74 140 158 168 170 234 236 246 264 330 374 380 404	-416360120004
STPT(10)	2532712548064288529	0 2 42 44 60 62 78 80 120 122	-342483349728
SPT(16)	2532712835438413171	0 12 18 22 52 112 120 126 172 178 186 246 276 280 286 298	-55109225086
STPT(10)	2532712937326257221	0 2 6 8 48 50 90 92 96 98	46778618964
STPT(12)	2532713170028947391	0 2 48 50 78 80 90 92 120 122 168 170	279481309134
STPT(10)	2532713333985293267	0 2 12 14 42 44 72 74 84 86	443437655010
SPT(16)	2532713563376634097	0 76 96 120 130 136 162 186 196 220 246 252 262 286 306 382	672828995840
SPT(16)	2532714415952092973	0 6 38 66 86 96 128 146 300 318 350 360 380 408 440 446	1525404454716