Prime p₀= 2568704211018764849 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: Penguin
db: batch=82, k=10, 2 16 2 10 2

STPT(12)	2568702584809439807	0 2 42 44 54 56 210 212 222 224 264 266	-1626209325042
STPT(10)	2568702684837159329	0 2 18 20 30 32 42 44 60 62	-1526181605520
SPT(16)	2568702799029253207	0 66 76 90 124 132 142 210 226 294 304 312 346 360 370 436	-1411989511642
STPT(10)	2568702944135879987	0 2 60 62 102 104 144 146 204 206	-1266882884862
TPT(14)	2568703403628017321	0 2 78 80 246 248 276 278 306 308 336 338 360 362	-807390747528
SPT(16)	2568703618826286209	0 30 32 78 90 102 108 120 212 224 230 242 254 300 302 332	-592192478640
SPT(16)	2568704364059567837	0 6 12 56 102 110 116 120 122 126 132 140 186 230 236 242	153040802988
STPT(10)	2568704392976343617	0 2 30 32 72 74 114 116 144 146	181957578768
SPT(16)	2568704528252812283	0 6 14 26 38 54 80 96 188 204 230 246 258 270 278 284	317234047434
SPT(16)	2568704619535743581	0 8 12 18 36 50 90 116 162 188 228 242 260 266 270 278	408516978732
SPT(16)	2568704683742233241	0 30 60 80 86 108 168 182 186 200 260 282 288 308 338 368	472723468392