Prime p₀= 2005049265305388581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: matsu_pl
db: batch=80, k=10, 2 106 2 28 2

TPT(14)	2005047819636603881	0 2 66 68 138 140 198 200 240 242 276 278 348 350	-1445668784700
STPT(10)	2005047972831840059	0 2 12 14 30 32 48 50 60 62	-1292473548522
STPT(10)	2005048036228822139	0 2 18 20 60 62 102 104 120 122	-1229076566442
STPT(10)	2005048545620852447	0 2 60 62 72 74 84 86 144 146	-719684536134
SPT(16)	2005049032675571167	0 10 24 76 84 102 162 202 204 244 304 322 330 382 396 406	-232629817414
STPT(10)	2005049210917729589	0 2 18 20 30 32 42 44 60 62	-54387658992
STPT(10)	2005049309172422999	0 2 48 50 90 92 132 134 180 182	43867034418
SPT(16)	2005049443961870507	0 24 42 60 126 144 164 192 194 222 242 260 326 344 362 386	178656481926
SPT(18)	2005049784853712557	0 36 126 132 142 184 202 214 246 280 312 324 342 384 394 400 490 526	519548323976
TPT(14)	2005049928760399397	0 2 84 86 120 122 204 206 312 314 510 512 552 554	663455010816
TPT(14)	2005050016491383201	0 2 6 8 18 20 30 32 60 62 90 92 96 98	751185994620