Prime p₀= 2005887003451589507 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: Dingo
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2005885181810365769	0 42 50 102 110 162 170 180 260 270 278 330 338 390 398 440	-1821641223738
STPT(10)	2005885281644198831	0 2 30 32 60 62 90 92 120 122	-1721807390676
SPT(16)	2005885584623929991	0 20 30 38 42 80 120 126 212 218 258 296 300 308 318 338	-1418827659516
SPT(16)	2005885836823647481	0 22 42 52 70 150 160 178 180 198 208 288 306 316 336 358	-1166627942026
STPT(10)	2005886868089592947	0 2 30 32 42 44 54 56 84 86	-135361996560
STPT(10)	2005886972452900247	0 2 42 44 72 74 102 104 144 146	-30998689260
SPT(16)	2005887093681991061	0 6 50 98 126 150 218 248 258 288 356 380 408 456 500 506	90230401554
SPT(16)	2005887813453669767	0 24 44 66 84 90 140 174 182 216 266 272 290 312 332 356	810002080260
SPT(16)	2005888013396281159	0 12 22 34 52 94 160 190 222 252 318 360 378 390 400 412	1009944691652
STPT(10)	2005888254290480237	0 2 60 62 72 74 84 86 144 146	1250838890730
STPT(10)	2005888344129031247	0 2 12 14 42 44 72 74 84 86	1340677441740