Prime p₀= 2339456050136230349 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: MarkRBright
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2339454938642585507	0 2 42 44 72 74 102 104 144 146	-1111493644842
SPT(16)	2339455269169666313	0 18 50 54 56 116 138 164 180 206 228 288 290 294 326 344	-780966564036
SPT(16)	2339455394284216807	0 22 34 46 70 76 102 114 172 184 210 216 240 252 264 286	-655852013542
SPT(16)	2339455582788199103	0 30 96 120 128 134 144 156 158 170 180 186 194 218 284 314	-467348031246
STPT(12)	2339455740902603459	0 2 12 14 42 44 48 50 78 80 90 92	-309233626890
STPT(10)	2339455804970015351	0 2 138 140 168 170 198 200 336 338	-245166214998
SPT(16)	2339456209104698027	0 2 54 86 92 120 134 180 236 282 296 324 330 362 414 416	158968467678
STPT(10)	2339456376815501297	0 2 54 56 72 74 90 92 144 146	326679270948
SPT(16)	2339456645196620743	0 30 48 54 76 100 124 136 198 210 234 258 280 286 304 334	595060390394
SPT(16)	2339456804933340307	0 12 22 24 70 150 202 222 232 252 304 384 430 432 442 454	754797109958
STPT(10)	2339456841886580621	0 2 6 8 18 20 30 32 36 38	791750350272