Prime p₀= 2341465326599633231 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 10 2 64 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 126 128 138 140 186 188
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: 188
Found by: Landjunge
db: batch=81, k=12, 2 46 2 10 2 64

STPT(10)	2341463220081491447	0 2 30 32 42 44 54 56 84 86	-2106518141784
STPT(10)	2341463222490021491	0 2 36 38 78 80 120 122 156 158	-2104109611740
SPT(16)	2341463303433990881	0 36 38 116 146 150 222 288 290 356 428 432 462 540 542 578	-2023165642350
SPT(16)	2341463915829731177	0 2 6 60 114 116 146 200 216 270 300 302 356 410 414 416	-1410769902054
STPT(10)	2341464728140948211	0 2 6 8 48 50 90 92 96 98	-598458685020
STPT(10)	2341465096646539151	0 2 36 38 78 80 120 122 156 158	-229953094080
STPT(10)	2341465936940197421	0 2 6 8 48 50 90 92 96 98	610340564190
SPT(16)	2341466317728730573	0 10 54 66 78 84 120 124 150 154 190 196 208 220 264 274	991129097342
STPT(10)	2341466494519081841	0 2 6 8 18 20 30 32 36 38	1167919448610
STPT(10)	2341466571573776237	0 2 42 44 132 134 222 224 264 266	1244974143006
SPT(16)	2341466827509542017	0 22 46 84 90 160 162 186 220 244 246 316 322 360 384 406	1500909908786