Prime p₀= 1510606538742101621 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: xii5ku
db: batch=78, k=10, 2 4 2 10 2

SPT(16)	1510605142805532647	0 2 12 42 44 80 102 194 240 332 354 390 392 422 432 434	-1395936568974
STPT(10)	1510605248970023411	0 2 6 8 18 20 30 32 36 38	-1289772078210
SPT(16)	1510605755798701669	0 48 52 120 162 172 252 370 372 490 570 580 622 690 694 742	-782943399952
STPT(10)	1510605914624430707	0 2 30 32 72 74 114 116 144 146	-624117670914
STPT(10)	1510606123471677509	0 2 12 14 90 92 168 170 180 182	-415270424112
SPT(16)	1510606383861231763	0 10 36 54 60 64 94 124 126 156 186 190 196 214 240 250	-154880869858
STPT(10)	1510607619592256957	0 2 30 32 72 74 114 116 144 146	1080850155336
SPT(16)	1510607731887469463	0 36 84 110 150 206 264 266 288 290 348 404 444 470 518 554	1193145367842
SPT(16)	1510607790172951021	0 58 60 66 100 138 172 178 270 276 310 348 382 388 390 448	1251430849400
STPT(10)	1510607931706147007	0 2 24 26 42 44 60 62 84 86	1392964045386
STPT(10)	1510608076912549211	0 2 36 38 78 80 120 122 156 158	1538170447590