Prime p₀= 2356785771675186491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 58 2 118 2 130 2 10 2 (?)
a_n: 0 2 6 8 66 68 126 128 246 248 378 380 390 392
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: 392
Found by: arkiss
db: batch=81, k=14, 4 58 58 118 130 10

TPT(14)	2356784933563714961	0 2 66 68 126 128 150 152 156 158 240 242 306 308	-838111471530
TPT(14)	2356785019057031609	0 2 48 50 132 134 168 170 198 200 300 302 312 314	-752618154882
TPT(14)	2356785212808514259	0 2 102 104 168 170 252 254 258 260 270 272 330 332	-558866672232
STPT(10)	2356785227382171401	0 2 6 8 48 50 90 92 96 98	-544293015090
STPT(10)	2356785369184017851	0 2 30 32 78 80 126 128 156 158	-402491168640
STPT(10)	2356785589070422967	0 2 30 32 72 74 114 116 144 146	-182604763524
STPT(10)	2356785860790340907	0 2 12 14 72 74 132 134 144 146	89115154416
STPT(10)	2356785876027408167	0 2 24 26 42 44 60 62 84 86	104352221676
SPT(16)	2356786121388302423	0 24 56 74 84 96 164 198 206 240 308 320 330 348 380 404	349713115932
STPT(10)	2356786191108149621	0 2 6 8 18 20 30 32 36 38	419432963130
SPT(16)	2356786221633815029	0 4 24 60 70 90 112 148 174 210 232 252 262 298 318 322	449958628538