Prime p₀= 2406956611950886601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 10 2 100 2 64 2 58 2 (?)
a_n: 0 2 48 50 126 128 138 140 240 242 306 308 366 368
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: 368
Found by: [SG-FC] hl
db: batch=82, k=14, 46 76 10 100 64 58

SPT(16)	2406955593896333899	0 4 28 82 84 90 108 112 150 154 172 178 180 234 258 262	-1018054552702
STPT(10)	2406955623382580057	0 2 54 56 132 134 210 212 264 266	-988568306544
TPT(14)	2406955803548380457	0 2 60 62 72 74 84 86 102 104 114 116 270 272	-808402506144
SPT(16)	2406955811923231241	0 2 26 72 96 102 140 180 182 222 260 266 290 336 360 362	-800027655360
SPT(16)	2406956137067006309	0 30 38 50 54 98 134 144 218 228 264 308 312 324 332 362	-474883880292
STPT(10)	2406956361580907327	0 2 42 44 102 104 162 164 204 206	-250369979274
SPT(16)	2406956648814902011	0 10 36 66 88 102 130 132 256 258 286 300 322 352 378 388	36864015410
SPT(16)	2406957231884958913	0 6 58 90 94 118 144 196 198 250 276 300 304 336 388 394	619934072312
STPT(10)	2406957254988542957	0 2 30 32 42 44 54 56 84 86	643037656356
SPT(16)	2406957315860681141	0 6 8 26 50 56 78 96 140 158 180 186 210 228 230 236	703909794540
SPT(16)	2406957353003748431	0 32 56 66 120 150 186 200 228 242 278 308 362 372 396 428	741052861830