Prime p₀= 2005020367363750349 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: MechWarrior
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2005018728798795959	0 14 32 84 144 152 194 212 270 288 330 338 398 450 468 482	-1638564954390
SPT(16)	2005018900203780907	0 42 64 94 124 144 166 216 250 300 322 342 372 402 424 466	-1467159969442
STPT(10)	2005019421387224609	0 2 12 14 90 92 168 170 180 182	-945976525740
STPT(10)	2005019708453769101	0 2 6 8 48 50 90 92 96 98	-658909981248
SPT(16)	2005019710013202889	0 34 154 222 244 264 292 300 304 312 340 360 382 450 570 604	-657350547460
SPT(16)	2005020108396348049	0 12 88 90 114 130 132 174 178 220 222 238 262 264 340 352	-258967402300
STPT(10)	2005020499634023757	0 2 54 56 72 74 90 92 144 146	132270273408
SPT(16)	2005020534582947899	0 10 12 70 72 90 94 150 292 348 352 370 372 430 432 442	167219197550
SPT(16)	2005021001792850649	0 28 34 88 112 130 142 160 192 210 222 240 264 318 324 352	634429100300
STPT(10)	2005021024538891501	0 2 6 8 18 20 30 32 36 38	657175141152
STPT(10)	2005021199568754091	0 2 6 8 48 50 90 92 96 98	832205003742