Prime p₀= 2899690728960533657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 28 2 28 2 16 2 40 2 34 2 (?)
a_n: 0 2 84 86 114 116 144 146 162 164 204 206 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 82 28 28 16 40 34

TPT(14)	2899689592684876931	0 2 18 20 36 38 90 92 168 170 186 188 300 302	-1136275656726
SPT(16)	2899689670212473273	0 14 48 78 80 90 116 134 300 318 344 354 356 386 420 434	-1058748060384
SPT(16)	2899689840109501079	0 2 42 60 90 114 120 144 158 182 188 212 242 260 300 302	-888851032578
SPT(16)	2899689949947724273	0 28 54 58 70 124 168 196 228 256 300 354 366 370 396 424	-779012809384
STPT(10)	2899690408629650021	0 2 78 80 138 140 198 200 276 278	-320330883636
STPT(10)	2899690630140883169	0 2 48 50 90 92 132 134 180 182	-98819650488
SPT(16)	2899690802616171427	0 30 42 76 84 136 154 156 160 162 180 232 240 274 286 316	73655637770
SPT(16)	2899691279826592397	0 44 72 102 116 126 146 170 186 210 230 240 254 284 312 356	550866058740
SPT(16)	2899691951496595553	0 8 48 74 78 104 114 140 258 284 294 320 324 350 390 398	1222536061896
STPT(10)	2899692936873401021	0 2 78 80 108 110 138 140 216 218	2207912867364
STPT(10)	2899693035080126567	0 2 42 44 72 74 102 104 144 146	2306119592910