Prime p₀= 2254031251928366147 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: paulteo
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2254030595523287849	0 2 30 32 72 74 78 80 90 92 168 170 210 212	-656405078298
SPT(16)	2254030667474709401	0 42 78 98 102 110 150 168 200 218 258 266 270 290 326 368	-584453656746
STPT(10)	2254030770283551167	0 2 30 32 42 44 54 56 84 86	-481644814980
STPT(10)	2254030888623237551	0 2 36 38 78 80 120 122 156 158	-363305128596
STPT(10)	2254030907278892627	0 2 54 56 72 74 90 92 144 146	-344649473520
SPT(16)	2254031153792266273	0 46 54 84 138 144 154 214 300 360 370 376 430 460 468 514	-98136099874
STPT(10)	2254031258788515329	0 2 12 14 30 32 48 50 60 62	6860149182
SPT(16)	2254031515692937397	0 20 30 42 54 114 134 152 204 222 242 302 314 326 336 356	263764571250
STPT(10)	2254031724325242689	0 2 42 44 60 62 78 80 120 122	472396876542
STPT(10)	2254031923303732211	0 2 6 8 48 50 90 92 96 98	671375366064
SPT(16)	2254032260954996243	0 30 44 80 98 198 200 206 408 414 416 516 534 570 584 614	1009026630096