Prime p₀= 2514139159340856329 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=12, 2 16 2 22 2 34

SPT(16)	2514138116142687019	0 90 100 130 228 244 270 294 298 322 348 364 462 492 502 592	-1043198169310
SPT(16)	2514138322293467059	0 24 28 40 54 64 82 94 168 180 198 208 222 234 238 262	-837047389270
TPT(14)	2514138360032841959	0 2 60 62 72 74 138 140 258 260 438 440 468 470	-799308014370
SPT(16)	2514138706052431547	0 6 24 84 92 144 150 152 174 176 182 234 242 302 320 326	-453288424782
SPT(16)	2514139000715311363	0 18 60 94 106 136 154 168 196 210 228 258 270 304 346 364	-158625544966
STPT(10)	2514139081147363721	0 2 6 8 18 20 30 32 36 38	-78193492608
SPT(16)	2514139334156431433	0 36 50 56 60 116 126 128 216 218 228 284 288 294 308 344	174815575104
STPT(10)	2514139428428922947	0 2 42 44 72 74 102 104 144 146	269088066618
STPT(10)	2514139506533600459	0 2 48 50 90 92 132 134 180 182	347192744130
STPT(10)	2514139608808443179	0 2 12 14 90 92 168 170 180 182	449467586850
STPT(10)	2514139818036110447	0 2 30 32 42 44 54 56 84 86	658695254118