Prime p₀= 2004205314969633791 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: vaughan
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2004203755335365917	0 12 64 82 156 172 180 204 232 256 264 280 354 372 424 436	-1559634267874
SPT(16)	2004203934826759537	0 4 34 54 70 76 84 100 156 172 180 186 202 222 252 256	-1380142874254
SPT(16)	2004203956028620573	0 16 30 66 78 84 106 118 156 168 190 196 208 244 258 274	-1358941013218
STPT(10)	2004204634304596781	0 2 30 32 78 80 126 128 156 158	-680665037010
SPT(16)	2004204853233153523	0 24 54 64 88 124 148 168 250 270 294 330 354 364 394 418	-461736480268
SPT(16)	2004204972825762059	0 84 108 110 168 222 234 272 300 338 350 404 462 464 488 572	-342143871732
SPT(16)	2004205897821103217	0 42 44 62 90 92 206 234 272 300 414 416 444 462 464 506	582851469426
SPT(16)	2004206018152460747	0 30 32 36 50 60 74 80 336 342 356 366 380 384 386 416	703182826956
SPT(16)	2004206154484786199	0 2 8 110 114 138 168 194 198 224 254 278 282 384 390 392	839515152408
STPT(10)	2004206214324025331	0 2 6 8 48 50 90 92 96 98	899354391540
TPT(14)	2004206725400386889	0 2 30 32 72 74 180 182 222 224 258 260 312 314	1410430753098