Prime p₀= 2678688871173609797 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

STPT(10)	2678687913263524829	0 2 18 20 30 32 42 44 60 62	-957910084968
STPT(10)	2678688269292591761	0 2 6 8 18 20 30 32 36 38	-601881018036
STPT(10)	2678688301587160529	0 2 42 44 60 62 78 80 120 122	-569586449268
SPT(20)	2678688313423371233	0 50 80 84 90 108 138 188 194 228 266 300 306 356 386 404 410 414 444 494	-557750238564
SPT(16)	2678688405338450339	0 2 8 30 42 98 108 164 168 224 234 290 302 324 330 332	-465835159458
SPT(16)	2678688837500024053	0 34 40 94 96 138 150 190 264 304 316 358 360 414 420 454	-33673585744
SPT(16)	2678689039041524633	0 14 20 24 60 98 116 138 146 168 186 224 260 264 270 284	167867914836
STPT(10)	2678689236492294209	0 2 30 32 60 62 90 92 120 122	365318684412
STPT(10)	2678689250166914351	0 2 6 8 48 50 90 92 96 98	378993304554
SPT(16)	2678689528970184461	0 32 42 62 78 90 102 162 278 338 350 362 378 398 408 440	657796574664
STPT(10)	2678690192843311037	0 2 30 32 42 44 54 56 84 86	1321669701240