Prime p₀= 3715513006221231539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: SEARCHER
db: batch=84, k=10, 2 16 2 10 2

SPT(16)	3715511827036336637	0 14 30 50 92 126 134 162 164 192 200 234 276 296 312 326	-1179184894902
SPT(16)	3715512069822737131	0 28 72 126 142 210 246 250 318 322 358 426 442 496 540 568	-936398494408
SPT(16)	3715512211094032313	0 30 54 150 164 194 254 258 290 294 354 384 398 494 518 548	-795127199226
SPT(16)	3715512239861572471	0 10 16 18 46 48 66 76 192 202 220 222 250 252 258 268	-766359659068
STPT(10)	3715512675609664247	0 2 42 44 132 134 222 224 264 266	-330611567292
STPT(10)	3715512796067285567	0 2 54 56 72 74 90 92 144 146	-210153945972
SPT(16)	3715513062909788941	0 36 40 82 108 120 126 150 238 262 268 280 306 348 352 388	56688557402
STPT(10)	3715513086979396889	0 2 18 20 30 32 42 44 60 62	80758165350
SPT(16)	3715513754174143457	0 32 56 74 84 92 110 116 120 126 144 152 162 180 204 236	747952911918
STPT(10)	3715513803575511989	0 2 42 44 60 62 78 80 120 122	797354280450
SPT(16)	3715513889335534567	0 12 42 66 94 100 136 166 240 270 306 312 340 364 394 406	883114303028