Prime p₀= 1508004679047436649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: crashtech
db: batch=78, k=10, 2 46 2 10 2

STPT(10)	1508003667554737037	0 2 24 26 42 44 60 62 84 86	-1011492699612
SPT(16)	1508003687416493797	0 6 10 36 54 70 96 136 204 244 270 286 304 330 334 340	-991630942852
STPT(10)	1508003806860745541	0 2 6 8 48 50 90 92 96 98	-872186691108
SPT(16)	1508004019848793751	0 32 50 56 162 180 182 218 270 306 308 326 432 438 456 488	-659198642898
SPT(16)	1508004338608326469	0 4 30 60 70 88 124 130 138 144 180 198 208 238 264 268	-340439110180
SPT(16)	1508004567078611027	0 62 66 86 200 270 324 342 434 452 506 576 690 710 714 776	-111968825622
STPT(10)	1508004788319975521	0 2 36 38 78 80 120 122 156 158	109272538872
SPT(16)	1508004788936393617	0 30 34 70 90 100 150 154 156 160 210 220 240 276 280 310	109888956968
STPT(10)	1508004804362716001	0 2 60 62 168 170 276 278 336 338	125315279352
SPT(16)	1508005099084575131	0 6 36 50 78 98 120 192 206 278 300 320 348 362 392 398	420037138482
STPT(10)	1508005199457872117	0 2 30 32 60 62 90 92 120 122	520410435468