Prime p₀= 2731948338340249079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2731946594937838177	0 42 64 82 132 154 174 204 340 370 390 412 462 480 502 544	-1743402410902
STPT(10)	2731946940332822879	0 2 18 20 30 32 42 44 60 62	-1398007426200
STPT(10)	2731947359942795087	0 2 30 32 60 62 90 92 120 122	-978397453992
SPT(16)	2731947746324458643	0 18 120 126 146 164 174 200 234 260 270 288 308 314 416 434	-592015790436
STPT(10)	2731948023631995197	0 2 12 14 42 44 72 74 84 86	-314708253882
SPT(16)	2731948180634621717	0 20 30 66 110 116 140 150 230 240 264 270 314 350 360 380	-157705627362
SPT(16)	2731948987566404129	0 18 54 80 128 168 210 234 314 338 380 420 468 494 530 548	649226155050
SPT(16)	2731949387351734553	0 20 38 80 90 110 150 156 188 194 234 254 264 306 324 344	1049011485474
SPT(16)	2731949599094400187	0 42 52 70 76 84 90 100 126 136 142 150 156 174 184 226	1260754151108
STPT(10)	2731949602854270047	0 2 30 32 42 44 54 56 84 86	1264514020968
STPT(10)	2731950301120027109	0 2 12 14 90 92 168 170 180 182	1962779778030