Prime p₀= 2721606217580104037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Coleslaw
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2721605333646974821	0 18 28 46 48 60 78 156 160 238 256 268 270 288 298 316	-883933129216
SPT(16)	2721605475721742411	0 8 32 42 68 86 140 158 180 198 252 270 296 306 330 338	-741858361626
STPT(10)	2721605559838265921	0 2 6 8 18 20 30 32 36 38	-657741838116
SPT(16)	2721605873588899793	0 14 20 56 86 90 116 224 300 408 434 438 468 504 510 524	-343991204244
SPT(16)	2721606042259097429	0 38 98 140 164 204 230 300 302 372 398 438 462 504 564 602	-175321006608
SPT(16)	2721606092069309141	0 68 138 218 230 246 266 296 312 342 362 378 390 470 540 608	-125510794896
SPT(16)	2721607233994628857	0 16 34 42 54 114 120 124 192 196 202 262 274 282 300 316	1016414524820
STPT(10)	2721607502633297459	0 2 18 20 30 32 42 44 60 62	1285053193422
STPT(10)	2721607647671942681	0 2 36 38 78 80 120 122 156 158	1430091838644
STPT(10)	2721608016399503051	0 2 6 8 18 20 30 32 36 38	1798819399014
SPT(16)	2721608021460687467	0 20 36 42 66 72 80 92 120 132 140 146 170 176 192 212	1803880583430