Prime p₀= 3016171419144617579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: JonS
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	3016170085651364699	0 2 72 74 180 182 288 290 360 362	-1333493252880
TPT(14)	3016170415286831441	0 2 36 38 78 80 168 170 300 302 378 380 396 398	-1003857786138
SPT(13)	3016170751881496829	0 12 42 48 60 78 90 102 120 132 138 168 180	-667263120750
STPT(10)	3016170786930422879	0 2 18 20 30 32 42 44 60 62	-632214194700
SPT(16)	3016170915404930623	0 28 70 124 156 160 184 208 216 240 264 268 300 354 396 424	-503739686956
STPT(10)	3016171080908042039	0 2 12 14 90 92 168 170 180 182	-338236575540
TPT(14)	3016171617149700131	0 2 48 50 78 80 90 92 126 128 150 152 168 170	198005082552
SPT(16)	3016171993799703901	0 16 28 30 88 106 112 130 138 156 162 180 238 240 252 268	574655086322
STPT(10)	3016172128181050427	0 2 30 32 42 44 54 56 84 86	709036432848
SPT(16)	3016172266795042973	0 48 80 140 156 170 198 210 314 326 354 368 384 444 476 524	847650425394
SPT(16)	3016172518814671133	0 8 60 86 98 186 210 228 308 326 350 438 450 476 528 536	1099670053554