Prime p₀= 1253158406020294589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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 10 2 16 2

TPT(14)	1253157706205409887	0 2 24 26 54 56 114 116 150 152 180 182 264 266	-699814884702
SPT(16)	1253157820737633947	0 24 30 44 56 90 110 140 180 210 230 264 276 290 296 320	-585282660642
TPT(14)	1253157823918638107	0 2 42 44 84 86 150 152 240 242 264 266 294 296	-582101656482
STPT(10)	1253158061940169211	0 2 30 32 78 80 126 128 156 158	-344080125378
SPT(16)	1253158162854118217	0 12 54 60 72 74 126 134 162 170 222 224 236 242 284 296	-243166176372
SPT(16)	1253158195148181397	0 6 40 66 70 162 186 204 262 280 304 396 400 426 460 466	-210872113192
SPT(16)	1253158418247224101	0 16 28 60 82 142 166 298 450 582 606 666 688 720 732 748	12226929512
SPT(16)	1253158987840894417	0 12 52 64 96 162 174 192 334 352 364 430 462 474 514 526	581820599828
TPT(14)	1253159307476354657	0 2 12 14 192 194 234 236 240 242 264 266 330 332	901456060068
SPT(16)	1253159480563396061	0 6 8 66 96 110 120 132 236 248 258 272 302 360 362 368	1074543101472
STPT(10)	1253159956911390509	0 2 42 44 60 62 78 80 120 122	1550891095920