Prime p₀= 3306993627527003171 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: Penguin
db: batch=83, k=10, 2 4 2 10 2

SPT(16)	3306992556516114461	0 2 20 32 66 80 108 116 132 140 168 182 216 228 246 248	-1071010888710
SPT(22)	3306992642612944763	0 14 44 66 84 86 134 188 200 218 228 356 366 384 396 450 498 500 518 540 570 584	-984914058408
STPT(10)	3306993013610497061	0 2 138 140 168 170 198 200 336 338	-613916506110
STPT(10)	3306993154627672127	0 2 90 92 102 104 114 116 204 206	-472899331044
SPT(16)	3306993180232794607	0 34 106 114 126 130 136 162 184 210 216 220 232 240 312 346	-447294208564
STPT(10)	3306993376744517261	0 2 6 8 48 50 90 92 96 98	-250782485910
SPT(16)	3306993682049651959	0 18 28 54 70 78 100 138 154 192 214 222 238 264 274 292	54522648788
SPT(16)	3306993805964659831	0 18 48 72 82 100 126 132 166 172 198 216 226 250 280 298	178437656660
SPT(16)	3306994296345513047	0 32 92 102 140 150 164 206 240 282 296 306 344 354 414 446	668818509876
SPT(16)	3306994371900549137	0 54 86 114 170 210 224 230 240 246 260 300 356 384 416 470	744373545966
STPT(10)	3306994511525343827	0 2 24 26 42 44 60 62 84 86	883998340656