Prime p₀= 2676252374106962447 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2676251297442571973	0 18 60 90 104 120 180 306 308 434 494 510 524 554 596 614	-1076664390474
STPT(10)	2676251457553826981	0 2 6 8 48 50 90 92 96 98	-916553135466
SPT(16)	2676251511966941303	0 24 30 84 120 140 146 156 224 234 240 260 296 350 356 380	-862140021144
SPT(16)	2676252026263669123	0 6 34 70 84 96 166 186 268 288 358 370 384 420 448 454	-347843293324
STPT(10)	2676252125233612307	0 2 90 92 132 134 174 176 264 266	-248873350140
SPT(16)	2676252203784102017	0 2 32 62 90 96 152 176 180 204 260 266 294 324 354 356	-170322860430
SPT(16)	2676252715051507307	0 2 14 20 102 254 266 276 500 510 522 674 756 762 774 776	340944544860
STPT(10)	2676252749361083441	0 2 6 8 48 50 90 92 96 98	375254120994
STPT(10)	2676252971475778697	0 2 30 32 60 62 90 92 120 122	597368816250
SPT(16)	2676253124279810983	0 10 46 130 144 160 174 180 250 256 270 286 300 384 420 430	750172848536
SPT(16)	2676253164097107983	0 24 78 84 110 176 258 260 264 266 348 414 440 446 500 524	789990145536