Prime p₀= 2397387797042052041 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 28 2 100 2 40 2 4 2 (?)
a_n: 0 2 6 8 36 38 66 68 168 170 210 212 216 218
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: 218
Found by: Landjunge
db: batch=81, k=14, 4 28 28 100 40 4

STPT(10)	2397385846114200839	0 2 42 44 60 62 78 80 120 122	-1950927851202
SPT(16)	2397386093609487473	0 48 78 96 114 126 176 210 224 258 308 320 338 356 386 434	-1703432564568
SPT(16)	2397386836768374397	0 4 6 70 90 114 126 136 150 160 172 196 216 280 282 286	-960273677644
SPT(16)	2397386953550396417	0 12 26 56 110 126 140 152 234 246 260 276 330 360 374 386	-843491655624
STPT(10)	2397387377788441931	0 2 6 8 48 50 90 92 96 98	-419253610110
STPT(10)	2397387480839634707	0 2 54 56 72 74 90 92 144 146	-316202417334
STPT(10)	2397388035349449761	0 2 90 92 108 110 126 128 216 218	238307397720
STPT(10)	2397388368801528041	0 2 36 38 78 80 120 122 156 158	571759476000
TPT(14)	2397388597648650311	0 2 30 32 66 68 138 140 156 158 186 188 198 200	800606598270
SPT(16)	2397388698214695929	0 30 32 42 84 102 108 128 144 164 170 188 230 240 242 272	901172643888
STPT(10)	2397388791945530309	0 2 12 14 90 92 168 170 180 182	994903478268