Prime p₀= 2837415874432643261 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: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2837412946299965063	0 18 38 60 114 156 158 186 188 216 218 260 314 336 356 374	-2928132678198
STPT(10)	2837413389355088189	0 2 48 50 60 62 72 74 120 122	-2485077555072
STPT(10)	2837413482526272701	0 2 6 8 18 20 30 32 36 38	-2391906370560
STPT(10)	2837414225131231517	0 2 30 32 72 74 114 116 144 146	-1649301411744
STPT(10)	2837414487383545211	0 2 6 8 18 20 30 32 36 38	-1387049098050
TPT(14)	2837415643232828057	0 2 24 26 30 32 114 116 252 254 294 296 330 332	-231199815204
SPT(16)	2837416313756920703	0 38 48 98 104 110 174 194 210 230 294 300 306 356 366 404	439324277442
SPT(16)	2837416399854387847	0 4 12 30 60 70 90 96 130 136 156 166 196 214 222 226	525421744586
STPT(10)	2837416418054227979	0 2 12 14 30 32 48 50 60 62	543621584718
STPT(10)	2837416633750570787	0 2 24 26 42 44 60 62 84 86	759317927526
SPT(16)	2837416639957965259	0 12 34 60 64 88 102 138 154 190 204 228 232 258 280 292	765525321998