Prime p₀= 2276711852608502987 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2276710191065965157	0 24 44 116 140 156 164 174 182 192 200 216 240 312 332 356	-1661542537830
SPT(16)	2276710290726689567	0 54 66 74 92 140 164 182 204 222 246 294 312 320 332 386	-1561881813420
SPT(16)	2276710521224361193	0 30 34 60 126 130 136 138 256 258 264 268 334 360 364 394	-1331384141794
SPT(16)	2276711181216599311	0 28 30 46 52 66 70 88 90 108 112 126 132 148 150 178	-671391903676
STPT(10)	2276711350057374017	0 2 60 62 72 74 84 86 144 146	-502551128970
STPT(10)	2276711386618659539	0 2 48 50 90 92 132 134 180 182	-465989843448
STPT(10)	2276711886201413501	0 2 36 38 78 80 120 122 156 158	33592910514
SPT(16)	2276712278831855899	0 42 84 90 108 114 160 168 184 192 238 244 262 268 310 352	426223352912
SPT(16)	2276712683418573461	0 12 32 42 50 78 122 182 246 306 350 378 386 396 416 428	830810070474
SPT(16)	2276712794325919849	0 4 30 40 160 162 172 184 228 240 250 252 372 382 408 412	941717416862
TPT(14)	2276713127934587129	0 2 12 14 30 32 60 62 132 134 168 170 270 272	1275326084142