Prime p₀= 2406723810552470837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 106 2 70 2 64 2 28 2 (?)
a_n: 0 2 42 44 84 86 192 194 264 266 330 332 360 362
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 362
Found by: [SG-FC] hl
db: batch=82, k=14, 40 40 106 70 64 28

SPT(16)	2406723052610725721	0 8 26 32 56 96 116 132 146 162 182 222 246 252 270 278	-757941745116
SPT(16)	2406723096294505291	0 18 30 36 72 118 130 132 226 228 240 286 322 328 340 358	-714257965546
SPT(16)	2406723289671790363	0 16 58 84 88 106 114 130 264 280 288 306 310 336 378 394	-520880680474
SPT(16)	2406723345932096801	0 32 60 80 86 98 122 128 150 156 180 192 198 218 246 278	-464620374036
STPT(10)	2406723361156107767	0 2 12 14 72 74 132 134 144 146	-449396363070
SPT(16)	2406723445916257597	0 16 22 24 34 72 90 100 126 136 154 192 202 204 210 226	-364636213240
SPT(16)	2406723851847934961	0 26 62 150 168 182 188 216 272 300 306 320 338 426 462 488	41295464124
STPT(10)	2406723865984491239	0 2 18 20 30 32 42 44 60 62	55432020402
SPT(16)	2406724012335875753	0 8 44 96 120 138 140 170 174 204 206 224 248 300 336 344	201783404916
SPT(16)	2406724071299220727	0 6 40 70 90 160 204 214 246 256 300 370 390 420 454 460	260746749890
STPT(10)	2406724129059360287	0 2 60 62 72 74 84 86 144 146	318506889450