Prime p₀= 1956931156263983951 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: gemini8
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	1956930299958615367	0 24 40 42 46 52 66 94 102 130 144 150 154 156 172 196	-856305368584
STPT(10)	1956930747561314027	0 2 24 26 42 44 60 62 84 86	-408702669924
STPT(10)	1956930773501709527	0 2 30 32 42 44 54 56 84 86	-382762274424
TPT(14)	1956931079142057581	0 2 36 38 66 68 78 80 246 248 288 290 318 320	-77121926370
SPT(16)	1956931131882488011	0 22 66 70 76 90 126 136 162 172 208 222 228 232 276 298	-24381495940
SPT(16)	1956931140568757737	0 40 66 70 126 142 150 250 252 352 360 376 432 436 462 502	-15695226214
STPT(10)	1956931510388761607	0 2 30 32 42 44 54 56 84 86	354124777656
SPT(16)	1956931868725171879	0 4 22 48 60 72 90 100 132 142 160 172 184 210 228 232	712461187928
SPT(16)	1956931886321152703	0 98 144 228 260 264 266 330 344 408 410 414 446 530 576 674	730057168752
TPT(14)	1956932122535517929	0 2 72 74 90 92 138 140 168 170 222 224 228 230	966271533978
SPT(16)	1956932324648050913	0 30 86 114 126 210 216 258 326 368 374 458 470 498 554 584	1168384066962