Prime p₀= 2668587274409325077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2668586779592338391	0 12 50 72 96 108 140 176 252 288 320 332 356 378 416 428	-494816986686
SPT(16)	2668586810742262181	0 30 32 56 80 146 162 182 276 296 312 378 402 426 428 458	-463667062896
STPT(12)	2668586961295380821	0 2 36 38 48 50 78 80 90 92 126 128	-313113944256
STPT(10)	2668587048010639541	0 2 30 32 60 62 90 92 120 122	-226398685536
TPT(14)	2668587114815100251	0 2 78 80 216 218 276 278 318 320 420 422 456 458	-159594224826
TPT(14)	2668587198099137141	0 2 66 68 78 80 138 140 156 158 246 248 288 290	-76310187936
SPT(16)	2668587643764429157	0 16 30 46 60 82 84 94 102 112 114 136 150 166 180 196	369355104080
SPT(16)	2668587824974925459	0 12 20 60 90 102 114 132 152 170 182 194 224 264 272 284	550565600382
STPT(10)	2668587908680663157	0 2 24 26 42 44 60 62 84 86	634271338080
STPT(10)	2668587924208438319	0 2 42 44 90 92 138 140 180 182	649799113242
STPT(10)	2668588042505167997	0 2 30 32 42 44 54 56 84 86	768095842920