Prime p₀= 2731610432640903179 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2731609332362546099	0 2 48 50 60 62 72 74 120 122	-1100278357080
SPT(16)	2731609558981353047	0 56 60 72 104 114 126 170 216 260 272 282 314 326 330 386	-873659550132
SPT(16)	2731609595194739249	0 2 60 72 90 102 132 144 170 182 212 224 242 254 312 314	-837446163930
SPT(16)	2731609773538017809	0 30 38 72 90 132 170 188 192 210 248 290 308 342 350 380	-659102885370
STPT(10)	2731609823931815927	0 2 42 44 72 74 102 104 144 146	-608709087252
SPT(16)	2731609830906253487	0 12 50 60 80 86 92 116 120 144 150 156 176 186 224 236	-601734649692
TPT(14)	2731610671250660387	0 2 24 26 210 212 222 224 264 266 270 272 390 392	238609757208
STPT(10)	2731611080074393241	0 2 6 8 48 50 90 92 96 98	647433490062
STPT(10)	2731611094462256759	0 2 18 20 30 32 42 44 60 62	661821353580
STPT(10)	2731611117447926039	0 2 18 20 30 32 42 44 60 62	684807022860
SPT(16)	2731611343838124571	0 6 40 42 82 106 108 136 192 220 222 246 286 288 322 328	911197221392