Prime p₀= 2004391439887913771 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 82 2 4 2 82 2 34 2 (?)
a_n: 0 2 36 38 120 122 126 128 210 212 246 248
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: 248
Found by: Dingo
db: batch=80, k=12, 2 34 2 82 2 4

STPT(10)	2004390064007616749	0 2 48 50 60 62 72 74 120 122	-1375880297022
STPT(10)	2004390215508941879	0 2 12 14 90 92 168 170 180 182	-1224378971892
SPT(16)	2004390230513233067	0 14 30 42 66 72 92 96 110 114 134 140 164 176 192 206	-1209374680704
SPT(16)	2004390828221350837	0 60 72 90 120 130 142 184 300 342 354 364 394 412 424 484	-611666562934
STPT(10)	2004390971398072709	0 2 12 14 90 92 168 170 180 182	-468489841062
SPT(16)	2004391085350849427	0 30 42 74 86 96 162 176 330 344 410 420 432 464 476 506	-354537064344
SPT(16)	2004391446348223091	0 38 42 78 122 126 132 146 222 236 242 246 290 326 330 368	6460309320
STPT(10)	2004391894959600371	0 2 36 38 78 80 120 122 156 158	455071686600
SPT(16)	2004391970451510113	0 14 18 26 48 110 116 168 236 288 294 356 378 386 390 404	530563596342
STPT(10)	2004391982716519937	0 2 72 74 102 104 132 134 204 206	542828606166
SPT(16)	2004392329099180337	0 6 14 20 36 104 120 146 150 176 192 260 276 282 290 296	889211266566