Prime p₀= 1016709786189813377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: stoneageman
db: batch=76, k=10, 2 52 2 76 2

SPT(16)	1016708225303544247	0 6 24 34 36 66 84 90 106 112 130 160 162 172 190 196	-1560886269130
TPT(14)	1016708424434923061	0 2 30 32 78 80 90 92 156 158 186 188 216 218	-1361754890316
SPT(16)	1016708784494549449	0 42 78 84 112 114 132 142 210 220 238 240 268 274 310 352	-1001695263928
SPT(16)	1016708949419674141	0 60 78 82 100 102 120 142 168 190 208 210 228 232 250 310	-836770139236
STPT(10)	1016709319400900561	0 2 78 80 168 170 258 260 336 338	-466788912816
STPT(10)	1016709449010631499	0 2 12 14 30 32 48 50 60 62	-337179181878
SPT(16)	1016709920652907759	0 4 90 108 160 178 208 234 274 300 330 348 400 418 504 508	134463094382
SPT(16)	1016710054050598013	0 14 36 68 74 96 110 116 228 234 248 270 276 308 330 344	267860784636
SPT(16)	1016710334069017057	0 46 52 70 72 94 106 114 262 270 282 304 306 324 330 376	547879203680
SPT(16)	1016710459258515457	0 16 46 60 102 142 156 160 186 190 204 244 286 300 330 346	673068702080
STPT(12)	1016710555463553737	0 2 120 122 150 152 222 224 252 254 372 374	769273740360