Prime p₀= 2721435774566632577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2721433561608761759	0 44 104 158 168 174 200 224 258 282 308 314 324 378 438 482	-2212957870818
SPT(16)	2721434884271500451	0 32 120 146 182 222 248 270 308 330 356 396 432 458 546 578	-890295132126
SPT(16)	2721434892284324197	0 4 22 42 72 102 112 114 190 192 202 232 262 282 300 304	-882282308380
STPT(10)	2721435226673909519	0 2 12 14 90 92 168 170 180 182	-547892723058
SPT(16)	2721435267919307123	0 8 18 20 60 74 84 98 120 134 144 158 198 200 210 218	-506647325454
SPT(16)	2721435660223920151	0 30 40 42 58 78 88 102 106 120 130 150 166 168 178 208	-114342712426
TPT(14)	2721435829765279139	0 2 30 32 42 44 78 80 120 122 132 134 168 170	55198646562
STPT(10)	2721436420880307197	0 2 12 14 42 44 72 74 84 86	646313674620
STPT(10)	2721436496072052137	0 2 30 32 42 44 54 56 84 86	721505419560
SPT(16)	2721438320766159487	0 64 82 162 180 190 202 234 262 294 306 316 334 414 432 496	2546199526910
STPT(10)	2721438342436455539	0 2 42 44 60 62 78 80 120 122	2567869822962