Prime p₀= 1370613594650553311 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: Theadalus
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1370612511943202089	0 4 42 48 58 90 112 118 144 150 172 204 214 220 258 262	-1082707351222
SPT(16)	1370612747938502993	0 60 66 158 170 198 210 248 366 404 416 444 456 548 554 614	-846712050318
STPT(10)	1370612751508552397	0 2 24 26 42 44 60 62 84 86	-843142000914
SPT(16)	1370613106388006227	0 6 24 42 66 70 76 90 106 120 126 130 154 172 190 196	-488262547084
SPT(16)	1370613215251001881	0 12 18 42 46 52 112 136 162 186 246 252 256 280 286 298	-379399551430
STPT(10)	1370613308928316589	0 2 42 44 90 92 138 140 180 182	-285722236722
SPT(16)	1370613677954171501	0 32 42 60 92 110 126 132 140 146 162 180 212 230 240 272	83303618190
STPT(10)	1370613752328449537	0 2 30 32 42 44 54 56 84 86	157677896226
SPT(16)	1370613918469126957	0 16 40 106 196 204 220 262 264 306 322 330 420 486 510 526	323818573646
STPT(10)	1370614501064012291	0 2 6 8 48 50 90 92 96 98	906413458980
SPT(16)	1370614932167820511	0 12 28 78 82 118 130 138 232 240 252 288 292 342 358 370	1337517267200