Prime p₀= 2005034841732001757 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: MechWarrior
db: batch=80, k=10, 2 10 2 28 2

STPT(12)	2005032772098674567	0 2 12 14 30 32 42 44 60 62 72 74	-2069633327190
SPT(16)	2005032856219045141	0 12 112 132 166 186 202 208 300 306 322 342 376 396 496 508	-1985512956616
SPT(16)	2005033028728299289	0 12 40 58 132 150 178 198 322 342 370 388 462 480 508 520	-1813003702468
SPT(13)	2005033037247646499	0 42 90 108 132 168 210 252 288 312 330 378 420	-1804484355258
SPT(16)	2005033079000133139	0 24 48 52 60 112 130 150 202 222 240 292 300 304 328 352	-1762731868618
STPT(10)	2005033621965568589	0 2 48 50 90 92 132 134 180 182	-1219766433168
SPT(16)	2005034910805841953	0 30 36 58 78 84 198 240 244 286 400 406 426 448 454 484	69073840196
SPT(16)	2005035851289002239	0 24 52 58 70 78 100 102 190 192 214 222 234 240 268 292	1009557000482
SPT(16)	2005036327080971057	0 12 24 66 90 102 144 180 186 222 264 276 300 342 354 366	1485348969300
SPT(16)	2005036576128498641	0 32 78 98 108 120 138 150 170 182 200 212 222 242 288 320	1734396496884
SPT(16)	2005036598178665003	0 8 24 56 78 84 128 140 144 156 200 206 228 260 276 284	1756446663246