Prime p₀= 2531986273431813797 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: Penguin
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2531985520539949637	0 14 36 74 104 146 254 350 360 456 564 606 636 674 696 710	-752891864160
TPT(14)	2531985586104317027	0 2 12 14 60 62 102 104 144 146 180 182 240 242	-687327496770
SPT(16)	2531985793207677817	0 10 30 40 54 70 72 82 294 304 306 322 336 346 366 376	-480224135980
TPT(14)	2531985865324940987	0 2 42 44 144 146 180 182 222 224 264 266 312 314	-408106872810
TPT(14)	2531986097735911781	0 2 66 68 108 110 180 182 186 188 240 242 318 320	-175695902016
STPT(10)	2531986215655232459	0 2 12 14 30 32 48 50 60 62	-57776581338
SPT(16)	2531986341925950641	0 6 12 26 30 32 42 68 120 146 156 158 162 176 182 188	68494136844
SPT(16)	2531986445635775369	0 2 24 54 104 108 128 150 152 174 194 198 248 278 300 302	172203961572
SPT(16)	2531986504089252071	0 50 66 72 92 140 158 182 186 210 228 276 296 302 318 368	230657438274
SPT(16)	2531986571414433187	0 4 46 82 90 120 160 172 204 216 256 286 294 330 372 376	297982619390
TPT(14)	2531986607365877339	0 2 12 14 72 74 108 110 138 140 192 194 210 212	333934063542