Prime p₀= 2386957339647264929 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 94 2 10 2 58 2 58 2 (?)
a_n: 0 2 18 20 42 44 138 140 150 152 210 212 270 272
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: Drago75
db: batch=81, k=14, 16 22 94 10 58 58

TPT(14)	2386955999122519217	0 2 42 44 84 86 120 122 150 152 162 164 180 182	-1340524745712
STPT(10)	2386956084378580997	0 2 60 62 72 74 84 86 144 146	-1255268683932
SPT(16)	2386956447461176309	0 4 52 90 94 108 120 132 190 202 214 228 232 270 318 322	-892186088620
STPT(10)	2386956742344378497	0 2 42 44 72 74 102 104 144 146	-597302886432
TPT(14)	2386956754193807867	0 2 54 56 84 86 162 164 192 194 234 236 240 242	-585453457062
SPT(16)	2386957207708171831	0 36 42 52 78 102 106 150 208 252 256 280 306 316 322 358	-131939093098
STPT(10)	2386957374426454727	0 2 60 62 72 74 84 86 144 146	34779189798
TPT(14)	2386957532577356279	0 2 30 32 72 74 90 92 132 134 288 290 312 314	192930091350
SPT(16)	2386957769796168631	0 10 60 66 138 150 156 178 258 280 286 298 370 376 426 436	430148903702
SPT(16)	2386958227125667057	0 16 22 46 70 102 106 114 142 150 154 186 210 234 240 256	887478402128
STPT(10)	2386958299221488117	0 2 30 32 72 74 114 116 144 146	959574223188