Prime p₀= 729435899096493707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Theadalus
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	729434716424764247	0 2 42 44 72 74 102 104 144 146	-1182671729460
SPT(16)	729434783079114901	0 28 52 78 136 150 172 222 286 336 358 372 430 456 480 508	-1116017378806
STPT(10)	729435002496216617	0 2 12 14 42 44 72 74 84 86	-896600277090
SPT(16)	729435049744075123	0 96 124 126 138 144 154 166 168 180 190 196 208 210 238 334	-849352418584
SPT(16)	729435500809875467	0 14 20 56 66 72 104 114 122 132 164 170 180 216 222 236	-398286618240
SPT(16)	729435718491552739	0 60 88 102 112 130 162 190 192 220 252 270 280 294 322 382	-180604940968
SPT(16)	729436050834168343	0 4 24 28 78 84 94 154 180 240 250 256 306 310 330 334	151737674636
SPT(16)	729436073951178383	0 44 56 84 104 140 164 170 234 240 264 300 320 348 360 404	174854684676
STPT(10)	729436275607379687	0 2 12 14 42 44 72 74 84 86	376510885980
SPT(16)	729436275764945911	0 22 70 96 100 112 130 136 156 162 180 192 196 222 270 292	376668452204
SPT(16)	729436319410594633	0 40 48 84 90 120 126 154 180 208 214 244 250 286 294 334	420314100926