Prime p₀= 2004351874333044347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2004350581343202049	0 52 88 102 112 124 138 144 178 184 198 210 220 234 270 322	-1292989842298
SPT(16)	2004350738928150707	0 12 56 66 84 132 134 174 182 222 224 272 290 300 344 356	-1135404893640
SPT(16)	2004351316503738929	0 2 12 24 30 38 84 104 108 128 174 182 188 200 210 212	-557829305418
SPT(16)	2004351418131490777	0 34 46 76 126 144 154 172 264 282 292 310 360 390 402 436	-456201553570
SPT(16)	2004351632331474281	0 36 38 50 78 116 120 146 162 188 192 230 258 270 272 308	-242001570066
SPT(18)	2004351854831152139	0 20 68 78 98 108 140 152 224 258 330 342 374 384 404 414 462 482	-19501892208
STPT(10)	2004352385591670869	0 2 18 20 30 32 42 44 60 62	511258626522
SPT(16)	2004352519774390781	0 48 78 116 176 186 206 248 378 420 440 450 510 548 578 626	645441346434
STPT(10)	2004352555987998917	0 2 30 32 42 44 54 56 84 86	681654954570
SPT(16)	2004352920232408441	0 22 66 78 148 156 168 190 288 310 322 330 400 412 456 478	1045899364094
STPT(10)	2004352950842819189	0 2 18 20 30 32 42 44 60 62	1076509774842