Prime p₀= 2309768823804780599 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: FritzB
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2309767681994129909	0 14 194 212 230 294 300 314 348 362 368 432 450 468 648 662	-1141810650690
SPT(16)	2309767916729345749	0 18 40 54 84 102 108 112 150 154 160 178 208 222 244 262	-907075434850
SPT(16)	2309768020153147943	0 6 30 50 78 90 116 158 186 228 254 266 294 314 338 344	-803651632656
STPT(10)	2309768495531977301	0 2 6 8 48 50 90 92 96 98	-328272803298
SPT(16)	2309768679364122583	0 34 60 94 136 138 148 178 246 276 286 288 330 364 390 424	-144440658016
SPT(16)	2309768691832369799	0 14 20 38 44 92 98 170 252 324 330 378 384 402 408 422	-131972410800
SPT(16)	2309768884888541941	0 12 18 40 106 112 120 132 196 208 216 222 288 310 316 328	61083761342
STPT(10)	2309769176457736727	0 2 24 26 42 44 60 62 84 86	352652956128
SPT(16)	2309769301402167799	0 22 28 52 54 90 94 150 232 288 292 328 330 354 360 382	477597387200
STPT(10)	2309769345836366171	0 2 6 8 18 20 30 32 36 38	522031585572
TPT(14)	2309769488256328067	0 2 54 56 72 74 114 116 144 146 180 182 222 224	664451547468