Prime p₀= 2731607541734801669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Roadranner
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2731606087825940569	0 48 54 100 114 118 124 138 214 228 234 238 252 298 304 352	-1453908861100
SPT(16)	2731606095158606977	0 6 100 106 120 150 180 202 240 262 292 322 336 342 436 442	-1446576194692
SPT(16)	2731606275314946661	0 42 88 90 102 106 132 190 198 256 282 286 298 300 346 388	-1266419855008
TPT(14)	2731606997492019401	0 2 60 62 96 98 126 128 150 152 198 200 210 212	-544242782268
STPT(10)	2731607456306334377	0 2 90 92 102 104 114 116 204 206	-85428467292
STPT(10)	2731607526949346369	0 2 18 20 60 62 102 104 120 122	-14785455300
TPT(14)	2731608115145356451	0 2 30 32 168 170 378 380 396 398 408 410 420 422	573410554782
SPT(16)	2731608141836671039	0 22 24 34 42 52 78 82 90 94 120 130 138 148 150 172	600101869370
SPT(16)	2731608201709063081	0 12 16 30 66 82 118 126 142 150 186 202 238 252 256 268	659974261412
STPT(10)	2731608351429105059	0 2 18 20 30 32 42 44 60 62	809694303390
SPT(16)	2731608363115155613	0 18 34 60 78 94 138 144 154 160 204 220 238 264 280 298	821380353944