Prime p₀= 2350134338403617837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: suriv
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2350133176422010597	0 22 34 112 114 150 154 192 364 402 406 442 444 522 534 556	-1161981607240
SPT(16)	2350133210584554799	0 24 28 84 108 144 154 160 288 294 304 340 364 420 424 448	-1127819063038
STPT(10)	2350133316224014289	0 2 12 14 90 92 168 170 180 182	-1022179603548
STPT(10)	2350133449943078621	0 2 6 8 48 50 90 92 96 98	-888460539216
STPT(10)	2350133668215953531	0 2 6 8 18 20 30 32 36 38	-670187664306
STPT(10)	2350134044107024457	0 2 60 62 72 74 84 86 144 146	-294296593380
STPT(10)	2350134437324150957	0 2 30 32 42 44 54 56 84 86	98920533120
STPT(10)	2350134446517437579	0 2 18 20 30 32 42 44 60 62	108113819742
STPT(10)	2350134504355744607	0 2 54 56 72 74 90 92 144 146	165952126770
TPT(14)	2350135178957882597	0 2 84 86 114 116 210 212 294 296 360 362 402 404	840554264760
SPT(16)	2350135360330470179	0 20 42 140 158 168 188 242 288 342 362 372 390 488 510 530	1021926852342