Prime p₀= 2642360299341285557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 28 2 28 2 64 2 28 2 28 2 (?)
a_n: 0 2 84 86 114 116 144 146 210 212 240 242 270 272
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: RFGuy_KCCO
db: batch=82, k=14, 82 28 28 64 28 28

STPT(10)	2642358599756845157	0 2 24 26 42 44 60 62 84 86	-1699584440400
STPT(10)	2642359095616666631	0 2 6 8 18 20 30 32 36 38	-1203724618926
SPT(16)	2642359791775252231	0 12 42 48 70 72 82 90 148 156 166 168 190 196 226 238	-507566033326
SPT(16)	2642360087842397449	0 4 18 22 60 90 142 148 294 300 352 382 420 424 438 442	-211498888108
SPT(16)	2642360203932519029	0 18 98 102 114 122 138 144 218 224 240 248 260 264 344 362	-95408766528
TPT(14)	2642360285439137357	0 2 24 26 84 86 90 92 132 134 150 152 162 164	-13902148200
STPT(12)	2642360299341285641	0 2 30 32 60 62 126 128 156 158 186 188	84
STPT(10)	2642360419807877567	0 2 30 32 42 44 54 56 84 86	120466592010
STPT(10)	2642360442984633731	0 2 6 8 48 50 90 92 96 98	143643348174
TPT(14)	2642360477540931209	0 2 12 14 18 20 72 74 168 170 192 194 240 242	178199645652
SPT(16)	2642360587790849357	0 20 42 92 110 122 134 174 182 222 234 246 264 314 336 356	288449563800