Prime p₀= 4364094652807120877 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 4 2 28 2 130 2 16 2 22 2 (?)
a_n: 0 2 84 86 90 92 120 122 252 254 270 272 294 296
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: 296
Found by: JohnMD
db: batch=85, k=14, 82 4 28 130 16 22

STPT(10)	4364093254645535681	0 2 6 8 48 50 90 92 96 98	-1398161585196
SPT(16)	4364093314599291083	0 26 44 56 66 98 104 126 128 150 156 188 198 210 228 254	-1338207829794
SPT(16)	4364093729143155941	0 20 38 66 72 86 98 108 170 180 192 206 212 240 258 278	-923663964936
STPT(10)	4364093898447428309	0 2 48 50 90 92 132 134 180 182	-754359692568
TPT(14)	4364094009459682697	0 2 12 14 84 86 132 134 174 176 234 236 264 266	-643347438180
STPT(10)	4364094506368609007	0 2 30 32 72 74 114 116 144 146	-146438511870
STPT(10)	4364094715151853359	0 2 18 20 30 32 42 44 60 62	62344732482
SPT(16)	4364095049422696241	0 38 68 80 92 110 120 122 168 170 180 198 210 222 252 290	396615575364
SPT(16)	4364095066473984029	0 18 74 122 128 182 198 200 222 224 240 294 300 348 404 422	413666863152
STPT(10)	4364095109473166057	0 2 12 14 42 44 72 74 84 86	456666045180
SPT(16)	4364095404542212013	0 20 24 50 78 86 90 98 156 164 168 176 204 230 234 254	751735091136