Prime p₀= 2339455804970015351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 136 2 28 2 28 2 136 2 (?)
a_n: 0 2 138 140 168 170 198 200 336 338
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: 338
Found by: MarkRBright
db: batch=81, k=10, 2 136 2 28 2

SPT(16)	2339454803029234823	0 18 56 66 80 104 108 126 188 206 210 234 248 258 296 314	-1001940780528
STPT(10)	2339454938642585507	0 2 42 44 72 74 102 104 144 146	-866327429844
SPT(16)	2339455269169666313	0 18 50 54 56 116 138 164 180 206 228 288 290 294 326 344	-535800349038
SPT(16)	2339455394284216807	0 22 34 46 70 76 102 114 172 184 210 216 240 252 264 286	-410685798544
SPT(16)	2339455582788199103	0 30 96 120 128 134 144 156 158 170 180 186 194 218 284 314	-222181816248
STPT(12)	2339455740902603459	0 2 12 14 42 44 48 50 78 80 90 92	-64067411892
STPT(10)	2339456050136230349	0 2 18 20 30 32 42 44 60 62	245166214998
SPT(16)	2339456209104698027	0 2 54 86 92 120 134 180 236 282 296 324 330 362 414 416	404134682676
STPT(10)	2339456376815501297	0 2 54 56 72 74 90 92 144 146	571845485946
SPT(16)	2339456645196620743	0 30 48 54 76 100 124 136 198 210 234 258 280 286 304 334	840226605392
SPT(16)	2339456804933340307	0 12 22 24 70 150 202 222 232 252 304 384 430 432 442 454	999963324956