Prime p₀= 3670406923137766697 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: TankbusterGames
db: batch=84, k=10, 2 10 2 28 2

SPT(16)	3670405145347984207	0 90 94 126 154 156 160 184 192 216 220 222 250 282 286 376	-1777789782490
SPT(16)	3670405368563823349	0 12 40 42 52 54 64 84 88 108 118 120 130 132 160 172	-1554573943348
SPT(16)	3670405446075964639	0 58 102 130 148 172 180 222 238 280 288 312 330 358 402 460	-1477061802058
STPT(10)	3670406555418970721	0 2 6 8 48 50 90 92 96 98	-367718795976
TPT(14)	3670406694016920521	0 2 180 182 186 188 198 200 378 380 408 410 420 422	-229120846176
STPT(10)	3670406785698267911	0 2 6 8 18 20 30 32 36 38	-137439498786
SPT(16)	3670407318426433447	0 4 46 64 106 126 142 244 282 384 400 420 462 480 522 526	395288666750
TPT(14)	3670407327612085649	0 2 42 44 78 80 120 122 162 164 198 200 240 242	404474318952
STPT(14)	3670407327612085649	0 2 42 44 78 80 120 122 162 164 198 200 240 242	404474318952
STPT(10)	3670407563322127877	0 2 30 32 42 44 54 56 84 86	640184361180
SPT(16)	3670407625043926003	0 46 70 84 94 150 198 216 448 466 514 570 580 594 618 664	701906159306