Prime p₀= 2582682400692824387 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 34 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 60 62 72 74 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 10 2 34

STPT(10)	2582681073387665219	0 2 12 14 30 32 48 50 60 62	-1327305159168
SPT(16)	2582681123445237299	0 2 8 14 24 42 50 80 162 192 200 218 228 234 240 242	-1277247587088
STPT(10)	2582681220063286997	0 2 30 32 72 74 114 116 144 146	-1180629537390
SPT(16)	2582681449976523121	0 18 28 36 88 120 156 240 286 370 406 438 490 498 508 526	-950716301266
STPT(10)	2582681960182022471	0 2 36 38 108 110 180 182 216 218	-440510801916
SPT(16)	2582682303683534447	0 14 20 54 62 114 140 194 252 306 332 384 392 426 432 446	-97009289940
STPT(10)	2582682620586421667	0 2 12 14 42 44 72 74 84 86	219893597280
SPT(16)	2582683207979735897	0 24 44 54 84 102 110 114 122 126 134 152 182 192 212 236	807286911510
SPT(16)	2582683311071322863	0 18 54 68 98 144 174 210 248 284 314 360 390 404 440 458	910378498476
STPT(10)	2582683376513677049	0 2 18 20 30 32 42 44 60 62	975820852662
STPT(10)	2582683659944340047	0 2 30 32 42 44 54 56 84 86	1259251515660