Prime p₀= 724927551100022507 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: stasieks
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	724926950667046837	0 6 22 30 54 64 112 124 282 294 342 352 376 384 400 406	-600432975670
STPT(10)	724927085567876801	0 2 30 32 78 80 126 128 156 158	-465532145706
STPT(10)	724927123509958277	0 2 30 32 42 44 54 56 84 86	-427590064230
TPT(14)	724927203982297241	0 2 90 92 126 128 156 158 186 188 228 230 246 248	-347117725266
SPT(16)	724927271797173013	0 6 28 70 76 108 126 136 150 160 178 210 216 258 280 286	-279302849494
STPT(10)	724927419405952517	0 2 30 32 42 44 54 56 84 86	-131694069990
SPT(16)	724927652422484891	0 42 80 108 116 158 186 198 260 272 300 342 350 378 416 458	101322462384
SPT(16)	724928284040052121	0 18 52 60 142 148 162 172 336 346 360 366 448 456 490 508	732940029614
STPT(10)	724928289995504897	0 2 30 32 42 44 54 56 84 86	738895482390
SPT(16)	724928290158509947	0 34 42 60 72 76 96 102 154 160 180 184 196 214 222 256	739058487440
TPT(14)	724928391574876037	0 2 132 134 162 164 174 176 264 266 330 332 402 404	840474853530