Prime p₀= 799849685036608901 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: declis
db: batch=73, k=10, 2 34 2 40 2

STPT(10)	799849499230939847	0 2 30 32 42 44 54 56 84 86	-185805669054
SPT(16)	799849551407406847	0 12 42 64 90 124 132 142 144 154 162 196 222 244 274 286	-133629202054
STPT(10)	799849560797483387	0 2 42 44 72 74 102 104 144 146	-124239125514
SPT(16)	799849573764217157	0 56 102 150 164 192 206 294 392 480 494 522 536 584 630 686	-111272391744
SPT(16)	799849576476223501	0 18 46 60 96 112 126 130 138 142 156 172 208 222 250 268	-108560385400
STPT(10)	799849606151638697	0 2 54 56 72 74 90 92 144 146	-78884970204
STPT(10)	799849843754482889	0 2 18 20 30 32 42 44 60 62	158717873988
STPT(10)	799850056149586667	0 2 30 32 42 44 54 56 84 86	371112977766
STPT(12)	799850084243073107	0 2 12 14 54 56 60 62 102 104 114 116	399206464206
STPT(10)	799850103826611701	0 2 78 80 108 110 138 140 216 218	418790002800
TPT(14)	799850150220428441	0 2 36 38 66 68 138 140 156 158 168 170 180 182	465183819540