Prime p₀= 1258106228432538809 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: Theadalus
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1258105144233417407	0 2 54 56 72 74 90 92 144 146	-1084199121402
TPT(14)	1258105147540865651	0 2 30 32 276 278 318 320 360 362 396 398 420 422	-1080891673158
SPT(16)	1258105277247036679	0 60 88 114 132 138 154 174 178 198 214 220 238 264 292 352	-951185502130
STPT(10)	1258105594405719077	0 2 42 44 72 74 102 104 144 146	-634026819732
STPT(10)	1258105882991473721	0 2 6 8 18 20 30 32 36 38	-345441065088
STPT(10)	1258105999620409109	0 2 18 20 60 62 102 104 120 122	-228812129700
SPT(16)	1258106402879686051	0 28 60 66 72 76 90 132 196 238 252 256 262 268 300 328	174447147242
STPT(10)	1258106470374937289	0 2 78 80 120 122 162 164 240 242	241942398480
SPT(16)	1258106616827218087	0 34 76 100 102 130 172 186 250 264 306 334 336 360 402 436	388394679278
SPT(16)	1258106761800424229	0 14 72 84 114 144 162 204 218 260 278 308 338 350 408 422	533367885420
SPT(16)	1258106801667875303	0 6 20 50 86 104 110 144 170 204 210 228 264 294 308 314	573235336494