Prime p₀= 2687977317822251627 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: Groo
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2687975185958056793	0 14 30 108 110 120 164 170 234 240 284 294 296 374 390 404	-2131864194834
SPT(16)	2687975791776067591	0 28 36 66 100 148 162 166 222 226 240 288 322 352 360 388	-1526046184036
SPT(16)	2687975840615956201	0 6 48 78 136 150 168 258 310 400 418 432 490 520 562 568	-1477206295426
SPT(16)	2687976119421338881	0 6 28 70 72 88 132 156 172 196 240 256 258 300 322 328	-1198400912746
STPT(10)	2687976490219833647	0 2 42 44 102 104 162 164 204 206	-827602417980
STPT(10)	2687976883724586869	0 2 18 20 30 32 42 44 60 62	-434097664758
TPT(14)	2687977333156128701	0 2 6 8 30 32 156 158 186 188 228 230 240 242	15333877074
STPT(10)	2687977906082036429	0 2 42 44 120 122 198 200 240 242	588259784802
STPT(10)	2687978004404534507	0 2 12 14 42 44 72 74 84 86	686582282880
STPT(10)	2687978754414285107	0 2 12 14 42 44 72 74 84 86	1436592033480
SPT(16)	2687979116818339313	0 6 14 54 60 78 134 146 168 180 236 254 260 300 308 314	1798996087686