Prime p₀= 2037812773787904719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2037811492528875223	0 30 54 108 150 156 166 168 226 228 238 244 286 340 364 394	-1281259029496
SPT(16)	2037811747437009059	0 24 42 60 68 90 92 102 140 150 152 174 182 200 218 242	-1026350895660
STPT(10)	2037812046586754519	0 2 42 44 210 212 378 380 420 422	-727201150200
STPT(10)	2037812242468908461	0 2 6 8 48 50 90 92 96 98	-531318996258
STPT(10)	2037812246078099549	0 2 42 44 60 62 78 80 120 122	-527709805170
SPT(16)	2037812252304936007	0 6 40 60 70 90 96 214 252 370 376 396 406 426 460 466	-521482968712
TPT(16)	2037812943563340791	0 2 78 80 108 110 126 128 150 152 198 200 288 290 306 308	169775436072
STPT(10)	2037813187682527427	0 2 30 32 42 44 54 56 84 86	413894622708
TPT(14)	2037813310511110631	0 2 48 50 78 80 90 92 120 122 198 200 210 212	536723205912
STPT(10)	2037813344487282797	0 2 30 32 42 44 54 56 84 86	570699378078
SPT(16)	2037813713170801261	0 16 42 72 148 156 178 198 280 300 322 330 406 436 462 478	939382896542