Prime p₀= 2565687503735460677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2565685603150678399	0 58 124 132 138 150 160 208 294 342 352 364 370 378 444 502	-1900584782278
SPT(16)	2565685656959745799	0 22 52 112 120 142 154 190 204 240 252 274 282 342 372 394	-1846775714878
TPT(14)	2565685740181741841	0 2 30 32 138 140 186 188 306 308 366 368 408 410	-1763553718836
STPT(10)	2565686096122771397	0 2 12 14 42 44 72 74 84 86	-1407612689280
STPT(10)	2565687100053420527	0 2 30 32 60 62 90 92 120 122	-403682040150
SPT(16)	2565687116688933667	0 22 24 72 94 100 106 124 192 210 216 222 244 292 294 316	-387046527010
SPT(16)	2565687714827271673	0 16 30 36 58 70 100 108 118 126 156 168 190 196 210 226	211091810996
SPT(16)	2565687902596329421	0 70 72 100 108 226 250 280 318 348 372 490 498 526 528 598	398860868744
SPT(16)	2565688153504042691	0 48 80 90 92 152 246 258 350 362 456 516 518 528 560 608	649768582014
SPT(18)	2565688613175359801	0 6 38 78 86 98 126 156 176 252 272 302 330 342 350 390 422 428	1109439899124
SPT(16)	2565688773267936781	0 6 28 72 76 78 108 126 142 160 190 192 196 240 262 268	1269532476104