Prime p₀= 1299477007353080531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 16 2 28 2 22 2 16 2 (?)
a_n: 0 2 6 8 48 50 66 68 96 98 120 122 138 140
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: 140
Found by: Cruncher Pete
db: batch=77, k=14, 4 40 16 28 22 16

STPT(10)	1299475526930886629	0 2 18 20 30 32 42 44 60 62	-1480422193902
SPT(16)	1299475548012667733	0 8 30 66 80 120 164 186 218 240 284 324 338 374 396 404	-1459340412798
SPT(16)	1299475842524298697	0 4 24 52 60 66 136 180 256 300 370 376 384 412 432 436	-1164828781834
STPT(10)	1299476221855242659	0 2 48 50 90 92 132 134 180 182	-785497837872
SPT(16)	1299476381584994783	0 30 86 144 146 150 174 186 188 200 224 228 230 288 344 374	-625768085748
SPT(16)	1299476503804653571	0 28 48 106 126 138 148 150 178 180 190 202 222 280 300 328	-503548426960
STPT(12)	1299477194031316799	0 2 42 44 48 50 72 74 78 80 120 122	186678236268
SPT(16)	1299477454943829769	0 90 114 132 138 180 192 222 280 310 322 364 370 388 412 502	447590749238
STPT(10)	1299477960078751931	0 2 30 32 78 80 126 128 156 158	952725671400
SPT(16)	1299477975711880609	0 10 28 30 52 58 64 82 210 228 234 240 262 264 282 292	968358800078
SPT(16)	1299478054278286903	0 4 30 100 126 138 186 196 198 208 256 268 294 364 390 394	1046925206372