Prime p₀= 2451613951966575827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

STPT(10)	2451612100443141677	0 2 30 32 42 44 54 56 84 86	-1851523434150
STPT(10)	2451612174508346777	0 2 42 44 72 74 102 104 144 146	-1777458229050
SPT(16)	2451613362722025389	0 12 20 30 110 140 164 180 182 198 222 252 332 342 350 362	-589244550438
SPT(16)	2451613370396221957	0 6 22 70 90 132 144 156 190 202 214 256 276 324 340 346	-581570353870
SPT(16)	2451613559529314839	0 24 58 142 154 162 172 240 262 330 340 348 360 444 478 502	-392437260988
STPT(10)	2451613647125057291	0 2 30 32 60 62 90 92 120 122	-304841518536
SPT(16)	2451614028205501507	0 34 40 76 102 132 160 162 214 216 244 274 300 336 342 376	76238925680
SPT(16)	2451614357361794879	0 18 42 72 78 80 132 140 150 158 210 212 218 248 272 290	405395219052
SPT(16)	2451614360438754629	0 18 30 32 132 174 180 198 224 242 248 290 390 392 404 422	408472178802
SPT(13)	2451614461968596681	0 12 42 60 72 78 120 162 168 180 198 228 240	510002020854
STPT(10)	2451614588454119909	0 2 18 20 30 32 42 44 60 62	636487544082