Prime p₀= 2726124852767123537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 28 2 40 2

STPT(10)	2726123573079343769	0 2 48 50 90 92 132 134 180 182	-1279687779768
SPT(16)	2726123716677986423	0 8 14 38 56 86 128 134 270 276 318 348 366 390 396 404	-1136089137114
TPT(14)	2726123734529016929	0 2 48 50 120 122 228 230 330 332 492 494 522 524	-1118238106608
SPT(13)	2726123943324864443	0 36 84 174 210 240 270 300 330 366 456 504 540	-909442259094
SPT(16)	2726124152780805811	0 58 60 90 102 150 172 192 286 306 328 376 388 418 420 478	-699986317726
SPT(16)	2726124162154049357	0 12 24 32 152 164 194 320 336 462 492 504 624 632 644 656	-690613074180
SPT(16)	2726125097524826563	0 40 48 66 108 118 124 130 174 180 186 196 238 256 264 304	244757703026
STPT(10)	2726125229393474939	0 2 18 20 30 32 42 44 60 62	376626351402
SPT(16)	2726125260570777157	0 22 24 42 112 204 210 234 250 274 280 372 442 460 462 484	407803653620
TPT(14)	2726125290526623911	0 2 6 8 48 50 78 80 126 128 186 188 210 212	437759500374
SPT(16)	2726125581879798731	0 36 48 78 120 122 128 188 240 300 306 308 350 380 392 428	729112675194