Prime p₀= 2733466721246071997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: JonS
db: batch=82, k=10, 2 82 2 46 2

SPT(16)	2733465078091984501	0 30 40 42 66 96 102 126 196 220 226 256 280 282 292 322	-1643154087496
TPT(14)	2733465081193574087	0 2 42 44 90 92 150 152 162 164 180 182 192 194	-1640052497910
SPT(16)	2733465118153787707	0 22 72 100 204 240 280 286 420 426 466 502 606 634 684 706	-1603092284290
STPT(10)	2733465518686718111	0 2 6 8 18 20 30 32 36 38	-1202559353886
STPT(10)	2733466200407083049	0 2 18 20 30 32 42 44 60 62	-520838988948
STPT(10)	2733466273304857967	0 2 30 32 60 62 90 92 120 122	-447941214030
SPT(16)	2733466831853933911	0 22 36 40 72 82 88 102 106 120 126 136 168 172 186 208	110607861914
STPT(10)	2733466838598093779	0 2 18 20 30 32 42 44 60 62	117352021782
SPT(16)	2733466993926761431	0 48 52 58 70 76 136 166 252 282 342 348 360 366 370 418	272680689434
SPT(16)	2733467178401580017	0 12 56 96 152 182 192 206 276 290 300 330 386 426 470 482	457155508020
SPT(16)	2733467362848384179	0 8 42 72 90 122 150 162 260 272 300 332 350 380 414 422	641602312182