Prime p₀= 1588365202485338267 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: Skivelitis2
db: batch=78, k=10, 2 10 2 58 2

STPT(12)	1588363789869627047	0 2 12 14 54 56 60 62 102 104 114 116	-1412615711220
SPT(16)	1588364252450231923	0 18 34 36 78 84 94 144 220 270 280 286 328 330 346 364	-950035106344
SPT(16)	1588364415844509469	0 48 60 78 90 138 160 162 220 222 244 292 304 322 334 382	-786640828798
STPT(10)	1588364416651599269	0 2 48 50 90 92 132 134 180 182	-785833738998
SPT(16)	1588364738814590167	0 36 60 90 112 120 126 166 210 250 256 264 286 316 340 376	-463670748100
SPT(16)	1588365074029851241	0 22 40 42 46 180 258 288 430 460 538 672 676 678 696 718	-128455487026
SPT(16)	1588365263769452849	0 32 62 92 114 132 134 150 182 198 200 218 240 270 300 332	61284114582
STPT(10)	1588365549865372277	0 2 24 26 42 44 60 62 84 86	347380034010
SPT(16)	1588365786068467541	0 18 48 92 102 128 132 188 240 296 300 326 336 380 410 428	583583129274
SPT(16)	1588366182462469471	0 22 40 42 106 208 210 232 336 358 360 462 526 528 546 568	979977131204
STPT(10)	1588366558394879267	0 2 54 56 132 134 210 212 264 266	1355909541000