Prime p₀= 2676457649148625127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2676456391740561919	0 34 88 100 118 142 172 262 300 390 420 444 462 474 528 562	-1257408063208
STPT(10)	2676456519724959857	0 2 30 32 72 74 114 116 144 146	-1129423665270
STPT(10)	2676456715469058341	0 2 30 32 120 122 210 212 240 242	-933679566786
STPT(10)	2676457298622174797	0 2 30 32 72 74 114 116 144 146	-350526450330
SPT(18)	2676457577399585137	0 54 64 112 120 126 162 166 184 222 240 244 280 286 294 342 352 406	-71749039990
STPT(10)	2676457583866047809	0 2 42 44 60 62 78 80 120 122	-65282577318
STPT(10)	2676457686565822727	0 2 12 14 42 44 72 74 84 86	37417197600
TPT(14)	2676457969929294491	0 2 66 68 78 80 348 350 420 422 468 470 510 512	320780669364
STPT(10)	2676458204534315417	0 2 60 62 72 74 84 86 144 146	555385690290
STPT(10)	2676458217210360761	0 2 6 8 48 50 90 92 96 98	568061735634
SPT(16)	2676458497666265519	0 42 60 72 110 114 128 224 228 324 338 342 380 392 410 452	848517640392