Prime p₀= 2308145293697296301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 40 2 16 2 70 2 76 2 (?)
a_n: 0 2 66 68 78 80 120 122 138 140 210 212 288 290
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: 290
Found by: Orange Kid
db: batch=81, k=14, 64 10 40 16 70 76

SPT(16)	2308144136816509307	0 12 92 96 180 186 210 222 224 236 260 266 350 354 434 446	-1156880786994
STPT(10)	2308144399230200891	0 2 6 8 48 50 90 92 96 98	-894467095410
STPT(10)	2308144508069127977	0 2 12 14 72 74 132 134 144 146	-785628168324
STPT(10)	2308144809401858039	0 2 18 20 30 32 42 44 60 62	-484295438262
SPT(16)	2308144900519886521	0 22 36 100 136 162 178 190 288 300 316 342 378 442 456 478	-393177409780
STPT(10)	2308144914862041677	0 2 42 44 102 104 162 164 204 206	-378835254624
STPT(10)	2308145350689303989	0 2 42 44 90 92 138 140 180 182	56992007688
SPT(16)	2308145399538373123	0 4 18 40 66 88 94 124 150 180 186 208 234 256 270 274	105841076822
SPT(16)	2308145564823562769	0 8 48 78 92 138 140 174 188 222 224 270 284 314 354 362	271126266468
SPT(16)	2308145895112816097	0 14 20 36 50 62 66 122 234 290 294 306 320 336 342 356	601415519796
SPT(16)	2308146008554430389	0 34 52 120 174 184 234 262 300 328 378 388 442 510 528 562	714857134088