Prime p₀= 2726668637898740831 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2726667626554921039	0 30 34 48 78 118 154 174 184 204 240 280 310 324 328 358	-1011343819792
SPT(16)	2726667988155232087	0 30 42 46 64 70 84 102 124 142 156 162 180 184 196 226	-649743508744
STPT(12)	2726668207470019649	0 2 72 74 102 104 168 170 198 200 270 272	-430428721182
SPT(16)	2726668275774335869	0 12 40 82 120 142 144 160 252 268 270 292 330 372 400 412	-362124404962
STPT(10)	2726668306323908657	0 2 42 44 72 74 102 104 144 146	-331574832174
STPT(10)	2726668391719364801	0 2 36 38 78 80 120 122 156 158	-246179376030
STPT(10)	2726668681581685661	0 2 6 8 18 20 30 32 36 38	43682944830
STPT(10)	2726668782923846669	0 2 18 20 30 32 42 44 60 62	145025105838
STPT(10)	2726668917425415491	0 2 90 92 198 200 306 308 396 398	279526674660
SPT(16)	2726668932956712433	0 6 40 88 100 160 166 180 316 330 336 396 408 456 490 496	295057971602
SPT(16)	2726669069675881511	0 38 80 90 102 132 156 188 210 242 266 296 308 318 360 398	431777140680