Prime p₀= 2357460641413752071 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 106 2 40 2 4 2 40 2 106 2 (?)
a_n: 0 2 108 110 150 152 156 158 198 200 306 308
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: 308
Found by: Donn Pike (USAF Ret)
db: batch=81, k=12, 2 106 2 40 2 4

SPT(16)	2357459999166562421	0 6 20 32 42 50 150 176 192 218 318 326 336 348 362 368	-642247189650
STPT(10)	2357460119329054007	0 2 30 32 72 74 114 116 144 146	-522084698064
SPT(16)	2357460367466190383	0 26 48 90 108 134 138 140 144 146 150 176 194 236 258 284	-273947561688
SPT(16)	2357460436631441587	0 24 34 42 64 70 90 112 132 154 174 180 202 210 220 244	-204782310484
STPT(10)	2357460539383871099	0 2 12 14 90 92 168 170 180 182	-102029880972
SPT(16)	2357460552055481857	0 36 40 130 150 210 222 234 292 304 316 376 396 486 490 526	-89358270214
STPT(10)	2357460857540428889	0 2 18 20 30 32 42 44 60 62	216126676818
SPT(16)	2357460889755355003	0 34 36 48 60 76 96 100 144 148 168 184 196 208 210 244	248341602932
STPT(10)	2357460995937361409	0 2 18 20 30 32 42 44 60 62	354523609338
SPT(16)	2357461057525007647	0 10 30 96 124 132 142 156 160 174 184 192 220 286 306 316	416111255576
TPT(14)	2357461306182543161	0 2 30 32 240 242 336 338 366 368 396 398 546 548	664768791090