Prime p₀= 2322680095608933887 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 88 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 162 164 222 224 234 236
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: 236
Found by: arkiss
db: batch=81, k=12, 2 10 2 58 2 88

STPT(10)	2322678274153984457	0 2 12 14 42 44 72 74 84 86	-1821454949430
STPT(12)	2322678423400455047	0 2 54 56 90 92 174 176 210 212 264 266	-1672208478840
SPT(16)	2322679222683830917	0 46 54 60 76 90 102 114 142 154 166 180 196 202 210 256	-872925102970
SPT(16)	2322679329984584587	0 4 46 52 64 66 126 130 216 220 280 282 294 300 342 346	-765624349300
SPT(16)	2322679508238470279	0 8 12 42 48 78 110 132 140 162 194 224 230 260 264 272	-587370463608
SPT(16)	2322679935941537339	0 14 24 38 60 98 102 104 228 230 234 272 294 308 318 332	-159667396548
SPT(16)	2322680116184235469	0 12 54 70 78 90 112 154 348 390 412 424 432 448 490 502	20575301582
STPT(10)	2322680403658485779	0 2 18 20 30 32 42 44 60 62	308049551892
STPT(10)	2322680423793062519	0 2 18 20 30 32 42 44 60 62	328184128632
STPT(10)	2322680633114835281	0 2 36 38 78 80 120 122 156 158	537505901394
SPT(18)	2322680671246153597	0 66 70 82 144 196 220 234 256 330 352 366 390 442 504 516 520 586	575637219710