Prime p₀= 2731024615884885767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: amazing
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2731022367459054233	0 8 26 60 108 120 126 164 180 218 224 236 284 318 336 344	-2248425831534
TPT(14)	2731023251369862329	0 2 108 110 150 152 168 170 240 242 312 314 390 392	-1364515023438
STPT(10)	2731023282438253469	0 2 18 20 30 32 42 44 60 62	-1333446632298
STPT(10)	2731023346741535969	0 2 12 14 30 32 48 50 60 62	-1269143349798
SPT(16)	2731023895790834887	0 40 46 60 70 84 136 172 174 210 262 276 286 300 306 346	-720094050880
STPT(10)	2731024255308464459	0 2 42 44 120 122 198 200 240 242	-360576421308
STPT(10)	2731024739444580581	0 2 30 32 60 62 90 92 120 122	123559694814
SPT(16)	2731024941570245809	0 34 42 84 108 118 130 144 208 222 234 244 268 310 318 352	325685360042
SPT(16)	2731025188950523501	0 12 58 66 70 148 156 166 222 232 240 318 322 330 376 388	573065637734
SPT(16)	2731025197066007047	0 12 42 100 112 126 156 192 280 316 346 360 372 430 460 472	581181121280
SPT(16)	2731025482681599931	0 22 58 78 90 112 126 132 136 142 156 178 190 210 246 268	866796714164