Prime p₀= 1337188033309419677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Petrctale
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1337186256642264361	0 22 36 72 100 102 156 232 246 322 376 378 406 442 456 478	-1776667155316
STPT(10)	1337186788379545949	0 2 18 20 30 32 42 44 60 62	-1244929873728
SPT(16)	1337186945170455721	0 28 40 60 102 150 220 222 226 228 298 346 388 408 420 448	-1088138963956
SPT(16)	1337187054493372087	0 22 52 102 106 186 192 232 234 274 280 360 364 414 444 466	-978816047590
SPT(16)	1337187783040036727	0 2 50 86 144 206 224 312 314 402 420 482 540 576 624 626	-250269382950
STPT(10)	1337187867962490359	0 2 12 14 30 32 48 50 60 62	-165346929318
SPT(16)	1337188198088210053	0 4 10 18 36 40 70 78 136 144 174 178 196 204 210 214	164778790376
SPT(16)	1337188284817424521	0 6 40 52 60 70 136 216 346 426 492 502 510 522 556 562	251508004844
SPT(16)	1337188328465014537	0 4 24 64 66 94 96 106 144 154 156 184 186 226 246 250	295155594860
STPT(10)	1337188620795609269	0 2 78 80 120 122 162 164 240 242	587486189592
STPT(10)	1337188803354447521	0 2 30 32 78 80 126 128 156 158	770045027844