Prime p₀= 1586140414817106299 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 82 2 4 2 82 2 46 2 (?)
a_n: 0 2 48 50 132 134 138 140 222 224 270 272
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: 272
Found by: xii5ku
db: batch=78, k=12, 2 46 2 82 2 4

SPT(16)	1586139229106511727	0 42 46 60 72 90 120 154 162 196 226 244 256 270 274 316	-1185710594572
STPT(12)	1586139812029985981	0 2 30 32 60 62 138 140 168 170 198 200	-602787120318
STPT(10)	1586139884279219609	0 2 18 20 30 32 42 44 60 62	-530537886690
STPT(10)	1586140025574719777	0 2 30 32 42 44 54 56 84 86	-389242386522
SPT(20)	1586140291477839509	0 14 48 62 68 140 152 158 180 210 242 272 294 300 312 384 390 404 438 452	-123339266790
SPT(16)	1586140317903483061	0 16 52 58 70 82 88 108 130 150 156 168 180 186 222 238	-96913623238
STPT(10)	1586140467671754851	0 2 36 38 108 110 180 182 216 218	52854648552
STPT(10)	1586140538498021291	0 2 30 32 60 62 90 92 120 122	123680914992
TPT(14)	1586141147380317257	0 2 42 44 72 74 90 92 114 116 120 122 144 146	732563210958
SPT(16)	1586141246913477461	0 8 30 32 72 152 168 182 198 212 228 308 348 350 372 380	832096371162
STPT(10)	1586141474725214117	0 2 12 14 42 44 72 74 84 86	1059908107818