Prime p₀= 2631678469657627457 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: fzs600
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2631677559006177431	0 2 36 38 78 80 120 122 156 158	-910651450026
STPT(10)	2631677577736880339	0 2 18 20 30 32 42 44 60 62	-891920747118
SPT(16)	2631677628292353791	0 2 20 38 62 120 132 222 248 338 350 408 432 450 468 470	-841365273666
SPT(16)	2631677664422189809	0 34 48 60 72 90 112 150 202 240 262 280 292 304 318 352	-805235437648
SPT(16)	2631677806769790367	0 4 30 36 94 144 150 156 184 190 196 246 304 310 336 340	-662887837090
SPT(16)	2631678458857313461	0 22 40 102 120 126 172 178 180 186 232 238 256 318 336 358	-10800313996
STPT(10)	2631678617140047089	0 2 18 20 30 32 42 44 60 62	147482419632
STPT(10)	2631678731375481059	0 2 18 20 30 32 42 44 60 62	261717853602
SPT(16)	2631678965244400079	0 42 68 108 128 134 140 150 182 192 198 204 224 264 290 332	495586772622
SPT(16)	2631679145856222829	0 12 22 48 54 78 90 108 124 142 154 178 184 210 220 232	676198595372
STPT(10)	2631679526417308067	0 2 30 32 42 44 54 56 84 86	1056759680610