Prime p₀= 2512786468555217597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2512785465575384429	0 48 62 80 110 114 132 150 152 170 188 192 222 240 254 302	-1002979833168
STPT(10)	2512785662235061397	0 2 30 32 60 62 90 92 120 122	-806320156200
SPT(16)	2512785727940715649	0 4 52 102 112 132 144 154 168 178 190 210 220 270 318 322	-740614501948
SPT(16)	2512785872973578287	0 40 96 156 186 222 250 262 270 282 310 346 376 436 492 532	-595581639310
TPT(14)	2512786011029866487	0 2 24 26 60 62 312 314 354 356 420 422 432 434	-457525351110
SPT(16)	2512786430338637353	0 54 84 88 108 150 180 208 216 244 274 316 336 340 370 424	-38216580244
SPT(16)	2512787033965968311	0 12 60 198 230 242 272 282 338 348 378 390 422 560 608 620	565410750714
STPT(10)	2512787070426547127	0 2 54 56 132 134 210 212 264 266	601871329530
STPT(10)	2512787195320956599	0 2 42 44 90 92 138 140 180 182	726765739002
TPT(14)	2512787666244644279	0 2 78 80 138 140 162 164 282 284 360 362 570 572	1197689426682
STPT(10)	2512787694721528307	0 2 30 32 72 74 114 116 144 146	1226166310710