Prime p₀= 2507681972815303241 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: [SG-FC] hl
db: batch=82, k=10, 2 124 2 10 2

STPT(10)	2507680861062362267	0 2 42 44 72 74 102 104 144 146	-1111752940974
SPT(16)	2507680963126630619	0 12 18 42 144 158 180 194 228 242 264 278 380 404 410 422	-1009688672622
SPT(16)	2507681315076478129	0 30 54 88 102 112 144 162 190 208 240 250 264 298 322 352	-657738825112
SPT(16)	2507681596948370449	0 84 112 120 124 138 148 172 330 354 364 378 382 390 418 502	-375866932792
STPT(10)	2507681614903902221	0 2 36 38 78 80 120 122 156 158	-357911401020
TPT(14)	2507681614903902221	0 2 36 38 78 80 120 122 156 158 180 182 246 248	-357911401020
TPT(14)	2507682084141097637	0 2 42 44 90 92 102 104 114 116 180 182 222 224	111325794396
STPT(10)	2507682234774193187	0 2 42 44 72 74 102 104 144 146	261958889946
SPT(16)	2507682752083018903	0 4 16 18 24 60 130 150 184 204 274 310 316 318 330 334	779267715662
STPT(10)	2507682879740494661	0 2 6 8 18 20 30 32 36 38	906925191420
TPT(14)	2507683013970675857	0 2 24 26 42 44 114 116 162 164 192 194 222 224	1041155372616