Prime p₀= 2672688787628304041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2672687709934098061	0 10 30 36 78 106 162 168 340 346 402 430 472 478 498 508	-1077694205980
SPT(16)	2672687727559115083	0 30 34 70 108 156 184 210 244 270 298 346 384 420 424 454	-1060069188958
SPT(16)	2672687847781468147	0 12 36 82 120 126 142 166 186 210 226 232 270 316 340 352	-939846835894
SPT(16)	2672687988755391499	0 100 112 172 210 252 280 294 370 384 412 454 492 552 564 664	-798872912542
TPT(14)	2672688329029621937	0 2 72 74 114 116 150 152 210 212 222 224 234 236	-458598682104
STPT(10)	2672688761435825477	0 2 42 44 72 74 102 104 144 146	-26192478564
SPT(16)	2672688812543184187	0 42 46 54 76 120 130 132 154 156 166 210 232 240 244 286	24914880146
SPT(16)	2672689041818394763	0 6 16 30 40 94 106 120 154 168 180 234 244 258 268 274	254190090722
STPT(10)	2672690090050379207	0 2 12 14 42 44 72 74 84 86	1302422075166
STPT(10)	2672690378683691291	0 2 30 32 78 80 126 128 156 158	1591055387250
STPT(10)	2672690504385460331	0 2 90 92 108 110 126 128 216 218	1716757156290