Prime p₀= 2797970735002528409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2797969987666712219	0 8 12 18 20 114 128 132 140 144 158 252 254 260 264 272	-747335816190
SPT(16)	2797970355264677851	0 16 18 52 90 96 112 118 150 156 172 178 216 250 252 268	-379737850558
STPT(12)	2797970643990684647	0 2 42 44 84 86 90 92 132 134 174 176	-91011843762
SPT(16)	2797970669107884953	0 26 50 56 78 96 104 156 158 210 218 236 258 264 288 314	-65894643456
SPT(16)	2797970687064484643	0 60 74 158 174 218 266 308 336 378 426 470 486 570 584 644	-47938043766
TPT(14)	2797970719793039471	0 2 36 38 48 50 228 230 246 248 270 272 330 332	-15209488938
SPT(16)	2797970770185892577	0 44 84 110 174 180 254 264 332 342 416 422 486 512 552 596	35183364168
SPT(13)	2797970938472449469	0 48 78 90 114 120 144 168 174 198 210 240 288	203469921060
SPT(13)	2797970973944769361	0 48 60 90 96 180 258 336 420 426 456 468 516	238942240952
SPT(16)	2797970994385090039	0 10 18 22 24 48 54 60 112 118 124 148 150 154 162 172	259382561630
STPT(10)	2797971078917968451	0 2 36 38 78 80 120 122 156 158	343915440042