Prime p₀= 1258105999620409109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Theadalus
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1258104571055398519	0 4 12 52 70 138 148 150 232 234 244 312 330 370 378 382	-1428565010590
STPT(10)	1258105144233417407	0 2 54 56 72 74 90 92 144 146	-855386991702
TPT(14)	1258105147540865651	0 2 30 32 276 278 318 320 360 362 396 398 420 422	-852079543458
SPT(16)	1258105277247036679	0 60 88 114 132 138 154 174 178 198 214 220 238 264 292 352	-722373372430
STPT(10)	1258105594405719077	0 2 42 44 72 74 102 104 144 146	-405214690032
STPT(10)	1258105882991473721	0 2 6 8 18 20 30 32 36 38	-116628935388
STPT(10)	1258106228432538809	0 2 18 20 30 32 42 44 60 62	228812129700
SPT(16)	1258106402879686051	0 28 60 66 72 76 90 132 196 238 252 256 262 268 300 328	403259276942
STPT(10)	1258106470374937289	0 2 78 80 120 122 162 164 240 242	470754528180
SPT(16)	1258106616827218087	0 34 76 100 102 130 172 186 250 264 306 334 336 360 402 436	617206808978
SPT(16)	1258106761800424229	0 14 72 84 114 144 162 204 218 260 278 308 338 350 408 422	762180015120