Prime p₀= 1425988167289752431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Theadalus
db: batch=78, k=10, 2 76 2 58 2

SPT(16)	1425986257049208241	0 6 30 36 46 60 70 72 76 78 88 102 112 118 142 148	-1910240544190
STPT(10)	1425986273558426351	0 2 30 32 78 80 126 128 156 158	-1893731326080
TPT(14)	1425987595717650239	0 2 30 32 72 74 138 140 162 164 282 284 378 380	-571572102192
SPT(16)	1425987678166207591	0 28 58 96 136 142 162 168 220 226 246 252 292 330 360 388	-489123544840
STPT(10)	1425987847563551159	0 2 18 20 30 32 42 44 60 62	-319726201272
SPT(16)	1425988044420216041	0 32 42 62 102 108 140 146 162 168 200 206 246 266 276 308	-122869536390
STPT(12)	1425988748938112417	0 2 42 44 60 62 84 86 102 104 144 146	581648359986
SPT(16)	1425988917002773463	0 14 98 194 198 228 236 260 264 288 296 326 330 426 510 524	749713021032
STPT(10)	1425989150777162297	0 2 42 44 72 74 102 104 144 146	983487409866
STPT(10)	1425989204840933399	0 2 42 44 60 62 78 80 120 122	1037551180968
SPT(16)	1425989291279728919	0 8 14 32 72 74 78 108 134 164 168 170 210 228 234 242	1123989976488