Prime p₀= 2712213059776599521 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: fzs600
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2712212374225607221	0 16 70 78 96 100 166 168 190 192 258 262 280 288 342 358	-685550992300
STPT(10)	2712212517943667021	0 2 6 8 48 50 90 92 96 98	-541832932500
STPT(10)	2712212522933575577	0 2 24 26 42 44 60 62 84 86	-536843023944
SPT(16)	2712212567040100583	0 18 20 30 50 116 120 156 200 236 240 306 326 336 338 356	-492736498938
SPT(16)	2712212589940725271	0 10 36 66 82 96 112 196 222 306 322 336 352 382 408 418	-469835874250
STPT(10)	2712212927225635607	0 2 42 44 72 74 102 104 144 146	-132550963914
STPT(10)	2712213281497983749	0 2 48 50 90 92 132 134 180 182	221721384228
SPT(16)	2712213332493514943	0 20 30 66 80 104 108 114 140 146 150 174 188 224 234 254	272716915422
STPT(10)	2712213646790329049	0 2 18 20 30 32 42 44 60 62	587013729528
SPT(16)	2712214034747485127	0 14 54 56 72 104 114 126 320 332 342 374 390 392 432 446	974970885606
SPT(16)	2712214192694232851	0 8 18 80 128 170 192 218 360 386 408 450 498 560 570 578	1132917633330