Prime p₀= 2406904679935203449 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 4 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 78 80 108 110 150 152
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: 152
Found by: [SG-FC] hl
db: batch=82, k=12, 2 40 2 28 2 4

SPT(16)	2406903524747499649	0 48 54 82 112 124 154 204 208 258 288 300 330 358 364 412	-1155187703800
STPT(10)	2406903697105400819	0 2 18 20 30 32 42 44 60 62	-982829802630
SPT(16)	2406903700682218019	0 14 24 44 60 164 170 188 210 228 234 338 354 374 384 398	-979252985430
STPT(10)	2406903887511405209	0 2 12 14 90 92 168 170 180 182	-792423798240
SPT(16)	2406903917530750369	0 18 40 70 102 118 130 138 154 162 174 190 222 252 274 292	-762404453080
SPT(16)	2406904173506216711	0 12 78 96 108 122 132 140 228 236 246 260 272 290 356 368	-506428986738
TPT(14)	2406904688172730841	0 2 60 62 138 140 258 260 336 338 390 392 396 398	8237527392
TPT(14)	2406905026188377171	0 2 30 32 78 80 120 122 156 158 198 200 240 242	346253173722
STPT(10)	2406905507036324381	0 2 6 8 48 50 90 92 96 98	827101120932
STPT(10)	2406905877317164577	0 2 54 56 72 74 90 92 144 146	1197381961128
TPT(14)	2406905946123847781	0 2 30 32 90 92 156 158 228 230 240 242 426 428	1266188644332