Prime p₀= 1588517176860258647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: emoga
db: batch=78, k=10, 2 28 2 40 2

SPT(16)	1588515766862641241	0 6 48 78 122 132 158 198 260 300 326 336 380 410 452 458	-1409997617406
SPT(16)	1588516143057059243	0 44 80 216 278 284 296 300 374 378 390 396 458 594 630 674	-1033803199404
STPT(10)	1588516503276356177	0 2 30 32 42 44 54 56 84 86	-673583902470
STPT(10)	1588516505231617679	0 2 48 50 90 92 132 134 180 182	-671628640968
SPT(22)	1588516621291448039	0 60 74 78 114 120 140 162 170 182 198 344 360 372 380 402 422 428 464 468 482 542	-555568810608
SPT(16)	1588516927424439673	0 6 66 84 90 118 154 160 174 180 216 244 250 268 328 334	-249435818974
STPT(10)	1588517949413311949	0 2 48 50 90 92 132 134 180 182	772553053302
SPT(16)	1588518281032322477	0 12 26 50 56 122 126 146 180 200 204 270 276 300 314 326	1104172063830
SPT(16)	1588518291551265637	0 34 40 66 84 96 112 124 252 264 280 292 310 336 342 376	1114691006990
TPT(14)	1588518326810078117	0 2 54 56 60 62 84 86 102 104 114 116 354 356	1149949819470
STPT(10)	1588518342677855987	0 2 30 32 72 74 114 116 144 146	1165817597340