Prime p₀= 2354944322556795647 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: MarkRBright
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2354943038762901029	0 2 18 20 60 62 102 104 120 122	-1283793894618
SPT(16)	2354943110047949711	0 6 20 26 72 86 90 108 170 188 192 206 252 258 272 278	-1212508845936
SPT(16)	2354943406456833721	0 36 40 78 138 168 198 240 256 298 328 358 418 456 460 496	-916099961926
SPT(16)	2354943409022871587	0 12 26 62 84 92 96 114 152 170 174 182 204 240 254 266	-913533924060
STPT(10)	2354943851230949357	0 2 30 32 42 44 54 56 84 86	-471325846290
TPT(16)	2354944090807219601	0 2 30 32 180 182 186 188 198 200 216 218 306 308 420 422	-231749576046
SPT(16)	2354944360223077477	0 30 40 52 66 96 126 130 162 166 196 226 240 252 262 292	37666281830
SPT(16)	2354944491445564559	0 24 72 78 92 204 224 248 294 318 338 450 464 470 518 542	168888768912
SPT(16)	2354944652627251901	0 2 20 56 62 126 152 156 182 186 212 276 282 318 336 338	330070456254
STPT(10)	2354944661376607187	0 2 24 26 42 44 60 62 84 86	338819811540
SPT(16)	2354944759704910313	0 6 44 66 90 110 140 146 198 204 234 254 278 300 338 344	437148114666