Prime p₀= 2406955803548380457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 10 2 16 2 10 2 154 2 (?)
a_n: 0 2 60 62 72 74 84 86 102 104 114 116 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 58 10 10 16 10 154

SPT(16)	2406953440536635873	0 18 36 38 44 56 60 78 116 134 138 150 156 158 176 194	-2363011744584
SPT(16)	2406953446616346769	0 18 100 130 142 150 154 172 330 348 352 360 372 402 484 502	-2356932033688
STPT(10)	2406954693697106429	0 2 30 32 60 62 90 92 120 122	-1109851274028
SPT(18)	2406954868420604071	0 48 70 76 100 118 142 252 276 292 316 426 450 468 492 498 520 568	-935127776386
SPT(16)	2406955593896333899	0 4 28 82 84 90 108 112 150 154 172 178 180 234 258 262	-209652046558
STPT(10)	2406955623382580057	0 2 54 56 132 134 210 212 264 266	-180165800400
SPT(16)	2406955811923231241	0 2 26 72 96 102 140 180 182 222 260 266 290 336 360 362	8374850784
SPT(16)	2406956137067006309	0 30 38 50 54 98 134 144 218 228 264 308 312 324 332 362	333518625852
STPT(10)	2406956361580907327	0 2 42 44 102 104 162 164 204 206	558032526870
TPT(14)	2406956611950886601	0 2 48 50 126 128 138 140 240 242 306 308 366 368	808402506144
SPT(16)	2406956648814902011	0 10 36 66 88 102 130 132 256 258 286 300 322 352 378 388	845266521554