Prime p₀= 816999696016405787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: matsu_pl
db: batch=73, k=10, 2 28 2 40 2

STPT(10)	816999162896523707	0 2 42 44 72 74 102 104 144 146	-533119882080
SPT(16)	816999284679997879	0 10 18 40 78 120 130 132 208 210 220 262 300 322 330 340	-411336407908
SPT(16)	816999305401052297	0 2 12 14 24 60 84 122 144 182 206 242 252 254 264 266	-390615353490
STPT(12)	816999401157570647	0 2 30 32 42 44 90 92 102 104 132 134	-294858835140
SPT(16)	816999609372651041	0 12 32 42 50 78 140 182 198 240 302 330 338 348 368 380	-86643754746
SPT(16)	816999647884709857	0 24 36 60 66 72 84 94 162 172 184 190 196 220 232 256	-48131695930
STPT(10)	816999717646482791	0 2 36 38 78 80 120 122 156 158	21630077004
STPT(10)	816999775266130397	0 2 30 32 42 44 54 56 84 86	79249724610
SPT(16)	817000071101413981	0 12 28 36 46 66 78 88 270 280 292 312 322 330 346 358	375085008194
SPT(16)	817000273998902899	0 22 42 52 58 78 112 114 118 120 154 174 180 190 210 232	577982497112
SPT(20)	817000276522057079	0 14 18 74 78 180 200 204 228 254 294 320 344 348 368 470 474 530 534 548	580505651292