Prime p₀= 2777730739305298277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2777729695024587383	0 36 78 90 120 126 138 168 218 248 260 266 296 308 350 386	-1044280710894
STPT(10)	2777729821434573461	0 2 30 32 78 80 126 128 156 158	-917870724816
STPT(10)	2777729888277867737	0 2 30 32 42 44 54 56 84 86	-851027430540
SPT(16)	2777730111956415809	0 42 90 98 102 110 134 140 222 228 252 260 264 272 320 362	-627348882468
STPT(10)	2777730501929880221	0 2 6 8 48 50 90 92 96 98	-237375418056
SPT(16)	2777730557232120097	0 70 72 90 174 192 196 216 220 240 244 262 346 364 366 436	-182073178180
STPT(10)	2777731249221694679	0 2 42 44 90 92 138 140 180 182	509916396402
SPT(16)	2777731273491482311	0 58 76 142 178 210 238 252 376 390 418 450 486 552 570 628	534186184034
SPT(16)	2777731360569356413	0 6 24 40 60 76 106 160 180 234 264 280 300 316 334 340	621264058136
SPT(16)	2777731598437383023	0 8 14 30 36 66 86 128 156 198 218 248 254 270 276 284	859132084746
STPT(10)	2777731700595403337	0 2 30 32 60 62 90 92 120 122	961290105060