Prime p₀= 2004294576475643861 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 40 2 28 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 78 80 120 122 126 128
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 128
Found by: Orange Kid
db: batch=80, k=12, 2 4 2 40 2 28

SPT(16)	2004290932001370449	0 8 30 42 50 84 132 134 288 290 338 372 380 392 414 422	-3644474273412
SPT(16)	2004291352919205041	0 32 60 86 98 108 150 158 240 248 290 300 312 338 366 398	-3223556438820
STPT(10)	2004291687128147939	0 2 18 20 30 32 42 44 60 62	-2889347495922
SPT(16)	2004292010126808379	0 4 24 54 102 124 130 178 204 252 258 280 328 358 378 382	-2566348835482
SPT(16)	2004292393964447861	0 2 32 96 98 102 110 138 200 228 236 240 242 306 336 338	-2182511196000
SPT(16)	2004292566400145821	0 18 42 60 192 216 246 268 330 352 382 406 538 556 580 598	-2010075498040
SPT(16)	2004294669845269447	0 42 52 64 76 94 106 112 114 120 132 150 162 174 184 226	93369625586
SPT(16)	2004295264904240533	0 10 54 58 66 120 124 150 154 180 184 238 246 250 294 304	688428596672
STPT(10)	2004295414694535617	0 2 54 56 72 74 90 92 144 146	838218891756
STPT(10)	2004295424545462289	0 2 48 50 90 92 132 134 180 182	848069818428
STPT(10)	2004295566513923201	0 2 30 32 78 80 126 128 156 158	990038279340