Prime p₀= 2819114321705457857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2819113047522092947	0 72 82 106 222 234 244 252 274 282 292 304 420 444 454 526	-1274183364910
SPT(16)	2819113109786163481	0 30 42 76 118 120 126 162 166 202 208 210 252 286 298 328	-1211919294376
SPT(16)	2819113532361589907	0 12 56 110 122 140 164 182 234 252 276 294 306 360 404 416	-789343867950
SPT(16)	2819113766627793121	0 12 18 22 40 60 70 78 82 90 100 120 138 142 148 160	-555077664736
STPT(10)	2819113827493348727	0 2 24 26 42 44 60 62 84 86	-494212109130
SPT(16)	2819114063740241539	0 4 10 12 24 54 84 90 94 100 130 160 172 174 180 184	-257965216318
SPT(16)	2819114702632236061	0 78 106 126 190 216 226 240 256 270 280 306 370 390 418 496	380926778204
STPT(10)	2819115101880103391	0 2 120 122 138 140 156 158 276 278	780174645534
SPT(16)	2819115244438713751	0 12 46 58 82 102 138 142 156 160 196 216 240 252 286 298	922733255894
STPT(10)	2819115383000646419	0 2 18 20 30 32 42 44 60 62	1061295188562
TPT(14)	2819115447058150769	0 2 12 14 18 20 72 74 102 104 222 224 258 260	1125352692912