Prime p₀= 3006512153513820617 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: MarkRBright
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	3006508992763486517	0 2 24 26 30 32 72 74 84 86 114 116 150 152	-3160750334100
STPT(10)	3006509847266638157	0 2 30 32 42 44 54 56 84 86	-2306247182460
TPT(14)	3006510275270268059	0 2 18 20 60 62 138 140 150 152 168 170 210 212	-1878243552558
SPT(16)	3006510300205669793	0 18 50 98 120 158 170 188 198 216 228 266 288 336 368 386	-1853308150824
STPT(10)	3006510382156121681	0 2 36 38 78 80 120 122 156 158	-1771357698936
SPT(16)	3006511007937751081	0 48 78 96 118 148 166 180 238 252 270 300 322 340 370 418	-1145576069536
SPT(16)	3006512241040814119	0 40 138 162 172 174 204 210 292 298 328 330 340 364 462 502	87526993502
SPT(16)	3006512346919871057	0 20 32 72 74 114 116 144 272 300 302 342 344 384 396 416	193406050440
SPT(16)	3006512527767467437	0 6 24 60 112 136 186 214 252 280 330 354 406 442 460 466	374253646820
SPT(16)	3006512930563462163	0 74 86 90 114 116 126 140 174 188 198 200 224 228 240 314	777049641546
SPT(16)	3006513669705648001	0 12 28 30 78 120 130 132 238 240 250 292 340 342 358 370	1516191827384