Prime p₀= 770720563873822409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 70 2 58 2 4 2 130 2 10 2 (?)
a_n: 0 2 150 152 222 224 282 284 288 290 420 422 432 434
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: 434
Found by: Egon olsen
db: batch=73, k=14, 148 70 58 4 130 10

STPT(10)	770719954427177327	0 2 24 26 42 44 60 62 84 86	-609446645082
SPT(16)	770719984351126919	0 30 44 62 92 104 132 152 240 260 288 300 330 348 362 392	-579522695490
STPT(10)	770720057531990351	0 2 30 32 60 62 90 92 120 122	-506341832058
SPT(16)	770720072756498311	0 12 16 42 66 82 88 108 130 150 156 172 196 222 226 238	-491117324098
STPT(10)	770720207506996037	0 2 222 224 252 254 282 284 504 506	-356366826372
TPT(14)	770720247854924879	0 2 30 32 42 44 108 110 348 350 378 380 408 410	-316018897530
SPT(20)	770720948375025701	0 8 32 56 98 102 210 218 236 242 306 312 330 338 446 450 492 516 540 548	384501203292
SPT(16)	770720972579414809	0 52 54 64 82 108 124 144 148 168 184 210 228 238 240 292	408705592400
STPT(10)	770721149004999947	0 2 30 32 42 44 54 56 84 86	585131177538
SPT(16)	770721167234405147	0 12 14 36 62 92 120 150 176 206 234 264 290 312 314 326	603360582738
SPT(16)	770721168007581677	0 90 116 132 150 164 182 194 222 234 252 266 284 300 326 416	604133759268