Prime p₀= 2978809268958589271 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Thundergrid
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2978808165480182039	0 2 12 14 90 92 168 170 180 182	-1103478407232
STPT(10)	2978808222028413779	0 2 42 44 90 92 138 140 180 182	-1046930175492
SPT(16)	2978808478477125793	0 6 48 58 66 168 196 214 240 258 286 388 396 406 448 454	-790481463478
SPT(16)	2978808602027272543	0 88 90 118 156 196 198 204 250 256 258 298 336 364 366 454	-666931316728
SPT(16)	2978808701519536829	0 54 62 98 168 180 192 198 224 230 242 254 324 360 368 422	-567439052442
STPT(10)	2978808723221790341	0 2 36 38 78 80 120 122 156 158	-545736798930
TPT(14)	2978809593539151077	0 2 60 62 180 182 234 236 270 272 294 296 324 326	324580561806
SPT(16)	2978809988430360151	0 18 78 82 112 156 162 238 240 316 322 366 396 400 460 478	719471770880
SPT(16)	2978810099511000217	0 4 16 30 52 156 162 172 204 214 220 324 346 360 372 376	830552410946
SPT(16)	2978810668921991027	0 42 56 60 62 102 116 122 270 276 290 330 332 336 350 392	1399963401756
STPT(10)	2978811019634496227	0 2 30 32 42 44 54 56 84 86	1750675906956