Prime p₀= 2511583305374214077 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: Groo
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2511582665940839509	0 54 82 102 130 132 144 174 208 238 250 252 280 300 328 382	-639433374568
STPT(10)	2511582825011141909	0 2 18 20 30 32 42 44 60 62	-480363072168
SPT(16)	2511582845036665681	0 108 112 130 222 256 270 318 340 388 402 436 528 546 550 658	-460337548396
SPT(16)	2511583011114551729	0 38 42 62 80 84 102 150 302 350 368 372 390 410 414 452	-294259662348
STPT(10)	2511583102665374831	0 2 36 38 78 80 120 122 156 158	-202708839246
TPT(14)	2511583104402965027	0 2 42 44 54 56 84 86 114 116 162 164 210 212	-200971249050
STPT(12)	2511583336826163659	0 2 12 14 42 44 48 50 78 80 90 92	31451949582
STPT(10)	2511583500220227581	0 2 30 32 78 80 126 128 156 158	194846013504
SPT(16)	2511583684007114531	0 26 42 50 62 66 68 96 122 150 152 156 168 176 192 218	378632900454
TPT(14)	2511583714320062297	0 2 12 14 54 56 84 86 114 116 240 242 264 266	408945848220
SPT(16)	2511583767875361271	0 10 16 60 70 156 198 240 268 310 352 438 448 492 498 508	462501147194