Prime p₀= 1016709319400900561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 88 2 88 2 76 2 (?)
a_n: 0 2 78 80 168 170 258 260 336 338
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: 338
Found by: stoneageman
db: batch=76, k=10, 2 76 2 88 2

STPT(10)	1016707447172421647	0 2 24 26 42 44 60 62 84 86	-1872228478914
SPT(16)	1016707975642083001	0 16 60 70 78 120 148 168 190 210 238 280 288 298 342 358	-1343758817560
SPT(16)	1016708225303544247	0 6 24 34 36 66 84 90 106 112 130 160 162 172 190 196	-1094097356314
TPT(14)	1016708424434923061	0 2 30 32 78 80 90 92 156 158 186 188 216 218	-894965977500
SPT(16)	1016708784494549449	0 42 78 84 112 114 132 142 210 220 238 240 268 274 310 352	-534906351112
SPT(16)	1016708949419674141	0 60 78 82 100 102 120 142 168 190 208 210 228 232 250 310	-369981226420
STPT(10)	1016709449010631499	0 2 12 14 30 32 48 50 60 62	129609730938
STPT(10)	1016709786189813377	0 2 54 56 132 134 210 212 264 266	466788912816
SPT(16)	1016709920652907759	0 4 90 108 160 178 208 234 274 300 330 348 400 418 504 508	601252007198
SPT(16)	1016710054050598013	0 14 36 68 74 96 110 116 228 234 248 270 276 308 330 344	734649697452
SPT(16)	1016710334069017057	0 46 52 70 72 94 106 114 262 270 282 304 306 324 330 376	1014668116496