Prime p₀= 2260823611932697727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: [SG-2W]Kurzer
db: batch=81, k=12, 2 10 2 40 2 4

STPT(10)	2260822710279232241	0 2 6 8 18 20 30 32 36 38	-901653465486
SPT(16)	2260822991403886933	0 4 18 28 34 66 70 114 130 174 178 210 216 226 240 244	-620528810794
SPT(16)	2260823125598935019	0 2 12 14 48 84 108 114 188 194 218 254 288 290 300 302	-486333762708
STPT(10)	2260823261314086011	0 2 6 8 48 50 90 92 96 98	-350618611716
STPT(10)	2260823320877972399	0 2 48 50 90 92 132 134 180 182	-291054725328
SPT(16)	2260823611452822883	0 70 90 120 126 150 166 190 306 330 346 370 376 406 426 496	-479874844
STPT(10)	2260823654834298287	0 2 30 32 42 44 54 56 84 86	42901600560
STPT(10)	2260823936191983089	0 2 12 14 90 92 168 170 180 182	324259285362
STPT(10)	2260823943766371407	0 2 30 32 72 74 114 116 144 146	331833673680
SPT(16)	2260824232166480801	0 8 20 32 42 78 90 122 228 260 272 308 318 330 342 350	620233783074
SPT(16)	2260824233453589283	0 16 28 30 60 78 88 90 154 156 166 184 214 216 228 244	621520891556