Prime p₀= 2309825062470270641 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: FritzB
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2309823862596229201	0 46 106 150 166 178 180 210 256 286 288 300 316 360 420 466	-1199874041440
SPT(16)	2309824040035331987	0 24 44 56 114 182 194 216 230 252 264 332 390 402 422 446	-1022434938654
SPT(16)	2309824084423093487	0 62 116 156 176 186 194 200 366 372 380 390 410 450 504 566	-978047177154
STPT(10)	2309824327805865251	0 2 78 80 108 110 138 140 216 218	-734664405390
TPT(14)	2309824838165549921	0 2 108 110 126 128 150 152 168 170 210 212 306 308	-224304720720
SPT(16)	2309824913346583753	0 4 46 84 94 108 130 138 196 204 226 240 250 288 330 334	-149123686888
SPT(16)	2309825273435168453	0 48 54 74 116 158 186 228 266 308 336 378 420 440 446 494	210964897812
SPT(16)	2309825387984764849	0 64 70 84 148 192 220 232 330 342 370 414 478 492 498 562	325514494208
SPT(16)	2309825428327864327	0 30 40 46 52 66 82 84 112 114 130 144 150 156 166 196	365857593686
SPT(16)	2309825516283343507	0 4 36 42 52 66 82 144 172 234 250 264 274 280 312 316	453813072866
SPT(16)	2309825672847830219	0 20 60 62 90 120 164 168 224 228 272 302 330 332 372 392	610377559578