Prime p₀= 3029661420087694001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	3029658859623575303	0 18 104 108 138 144 158 168 200 210 224 230 260 264 350 368	-2560464118698
STPT(10)	3029658880783379807	0 2 30 32 42 44 54 56 84 86	-2539304314194
STPT(10)	3029658987956153237	0 2 24 26 42 44 60 62 84 86	-2432131540764
SPT(16)	3029659019435089381	0 28 40 72 82 126 132 160 168 196 202 246 256 288 300 328	-2400652604620
SPT(16)	3029659298280874661	0 122 128 146 152 168 182 212 276 306 320 336 342 360 366 488	-2121806819340
SPT(16)	3029659387599663463	0 16 108 124 138 178 238 256 288 306 366 406 420 436 528 544	-2032488030538
STPT(10)	3029661677806266299	0 2 18 20 30 32 42 44 60 62	257718572298
TPT(14)	3029661933416421269	0 2 30 32 150 152 222 224 282 284 402 404 432 434	513328727268
STPT(10)	3029662095493795841	0 2 30 32 78 80 126 128 156 158	675406101840
STPT(10)	3029662276660612907	0 2 30 32 42 44 54 56 84 86	856572918906
STPT(10)	3029662830747081647	0 2 30 32 42 44 54 56 84 86	1410659387646