Prime p₀= 1459440650814486407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=78, k=10, 2 10 2 28 2

SPT(16)	1459438721207582579	0 14 44 60 80 90 98 162 170 234 242 252 272 288 318 332	-1929606903828
SPT(16)	1459438817213636579	0 8 84 104 108 138 180 188 264 272 314 344 348 368 444 452	-1833600849828
TPT(14)	1459439094920213177	0 2 180 182 222 224 330 332 402 404 432 434 504 506	-1555894273230
SPT(20)	1459439301458372141	0 50 68 90 116 140 162 168 216 248 330 362 410 416 438 462 488 510 528 578	-1349356114266
SPT(16)	1459439557574625461	0 2 48 86 102 126 156 216 242 302 332 356 372 410 456 458	-1093239860946
SPT(16)	1459440491755282709	0 18 30 72 78 84 98 102 110 114 128 134 140 182 194 212	-159059203698
TPT(14)	1459440799747449599	0 2 42 44 78 80 150 152 168 170 252 254 372 374	148932963192
SPT(16)	1459441420031164567	0 6 34 64 72 84 106 154 162 210 232 244 252 282 310 316	769216678160
STPT(10)	1459442186890477001	0 2 36 38 78 80 120 122 156 158	1536075990594
SPT(16)	1459442246072258101	0 40 66 120 142 148 180 190 198 208 240 246 268 322 348 388	1595257771694
SPT(18)	1459442428491355409	0 2 24 30 38 114 122 132 150 272 290 300 308 384 392 398 420 422	1777676869002