Prime p₀= 3670406785698267911 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: TankbusterGames
db: batch=84, k=10, 2 4 2 10 2

SPT(16)	3670405143429351017	0 20 56 120 152 176 242 264 272 294 360 384 416 480 516 536	-1642268916894
SPT(16)	3670405145347984207	0 90 94 126 154 156 160 184 192 216 220 222 250 282 286 376	-1640350283704
SPT(16)	3670405368563823349	0 12 40 42 52 54 64 84 88 108 118 120 130 132 160 172	-1417134444562
SPT(16)	3670405446075964639	0 58 102 130 148 172 180 222 238 280 288 312 330 358 402 460	-1339622303272
STPT(10)	3670406555418970721	0 2 6 8 48 50 90 92 96 98	-230279297190
TPT(14)	3670406694016920521	0 2 180 182 186 188 198 200 378 380 408 410 420 422	-91681347390
STPT(10)	3670406923137766697	0 2 12 14 42 44 72 74 84 86	137439498786
SPT(16)	3670407318426433447	0 4 46 64 106 126 142 244 282 384 400 420 462 480 522 526	532728165536
STPT(14)	3670407327612085649	0 2 42 44 78 80 120 122 162 164 198 200 240 242	541913817738
TPT(14)	3670407327612085649	0 2 42 44 78 80 120 122 162 164 198 200 240 242	541913817738
STPT(10)	3670407563322127877	0 2 30 32 42 44 54 56 84 86	777623859966