Prime p₀= 2906566245280070249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2906563934798050517	0 2 12 14 42 44 72 74 84 86	-2310482019732
SPT(16)	2906564447113823813	0 6 14 18 48 66 74 80 144 150 158 176 206 210 218 224	-1798166246436
STPT(10)	2906564486479677269	0 2 162 164 180 182 198 200 360 362	-1758800392980
SPT(16)	2906565773837234959	0 24 28 60 84 132 150 168 244 262 280 328 352 384 388 412	-471442835290
SPT(16)	2906566091482743583	0 6 28 36 48 54 78 88 126 136 160 166 178 186 208 214	-153797326666
SPT(16)	2906566097558288257	0 16 22 24 36 42 54 66 70 82 94 100 112 114 120 136	-147721781992
STPT(10)	2906566466571862181	0 2 6 8 48 50 90 92 96 98	221291791932
STPT(10)	2906566676171607047	0 2 30 32 42 44 54 56 84 86	430891536798
STPT(10)	2906567028566740709	0 2 18 20 30 32 42 44 60 62	783286670460
SPT(18)	2906567429484467807	0 14 50 60 62 80 86 132 200 216 284 330 336 354 356 366 402 416	1184204397558
STPT(10)	2906567679177037661	0 2 30 32 60 62 90 92 120 122	1433896967412