Prime p₀= 2279975764063352021 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: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2279974452220073771	0 18 26 32 56 60 66 116 192 242 248 252 276 282 290 308	-1311843278250
SPT(16)	2279974513970462371	0 10 100 112 178 192 216 238 300 322 346 360 426 438 528 538	-1250092889650
STPT(10)	2279974725390826811	0 2 6 8 48 50 90 92 96 98	-1038672525210
TPT(14)	2279974963599343889	0 2 30 32 72 74 102 104 168 170 240 242 258 260	-800464008132
SPT(16)	2279974995340356331	0 6 28 52 58 66 72 96 112 136 142 150 156 180 202 208	-768722995690
SPT(16)	2279975741879107211	0 8 20 30 38 66 78 98 108 128 140 168 176 186 198 206	-22184244810
STPT(10)	2279975836787585267	0 2 60 62 102 104 144 146 204 206	72724233246
SPT(16)	2279976343024872901	0 10 36 70 78 126 148 210 268 330 352 400 408 442 468 478	578961520880
SPT(16)	2279976670197398587	0 10 16 106 142 150 210 216 220 226 286 294 330 420 426 436	906134046566
SPT(16)	2279976966827600483	0 98 134 156 174 176 198 216 248 266 288 290 308 330 366 464	1202764248462
SPT(16)	2279976989935414573	0 58 66 88 100 118 156 160 234 238 276 294 306 328 336 394	1225872062552