Prime p₀= 2004207361387451201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Dingo
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2004205897821103217	0 42 44 62 90 92 206 234 272 300 414 416 444 462 464 506	-1463566347984
SPT(16)	2004206018152460747	0 30 32 36 50 60 74 80 336 342 356 366 380 384 386 416	-1343234990454
SPT(16)	2004206154484786199	0 2 8 110 114 138 168 194 198 224 254 278 282 384 390 392	-1206902665002
STPT(10)	2004206214324025331	0 2 6 8 48 50 90 92 96 98	-1147063425870
TPT(14)	2004206725400386889	0 2 30 32 72 74 180 182 222 224 258 260 312 314	-635987064312
SPT(16)	2004206806264616077	0 10 12 82 94 112 144 154 192 202 234 252 264 334 336 346	-555122835124
STPT(10)	2004207693844826549	0 2 48 50 60 62 72 74 120 122	332457375348
SPT(16)	2004208413474723767	0 12 44 56 72 80 104 114 122 132 156 164 180 192 224 236	1052087272566
STPT(10)	2004208416227461517	0 2 84 86 192 194 300 302 384 386	1054840010316
STPT(10)	2004208881010083029	0 2 18 20 60 62 102 104 120 122	1519622631828
SPT(16)	2004208895328505121	0 12 18 26 36 62 78 102 176 200 216 242 252 260 266 278	1533941053920