Prime p₀= 730513254290561627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 10 2 28 2 28 2 16 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86 114 116 132 134
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: 134
Found by: Theadalus
db: batch=73, k=14, 28 10 10 28 28 16

STPT(12)	730512115204888799	0 2 30 32 72 74 180 182 222 224 252 254	-1139085672828
SPT(16)	730512548509271659	0 40 84 108 112 132 154 190 222 258 280 300 304 328 372 412	-705781289968
SPT(16)	730512614303385931	0 6 30 72 76 96 112 120 202 210 226 246 250 292 316 322	-639987175696
TPT(14)	730512852812765147	0 2 144 146 210 212 240 242 264 266 294 296 312 314	-401477796480
SPT(16)	730512980878139027	0 44 66 72 114 126 140 150 206 216 230 242 284 290 312 356	-273412422600
SPT(16)	730513217337335477	0 2 30 44 66 84 90 104 132 146 152 170 192 206 234 236	-36953226150
STPT(10)	730513254290561627	0 2 30 32 42 44 54 56 84 86	0
STPT(10)	730513484575846637	0 2 12 14 42 44 72 74 84 86	230285285010
SPT(16)	730514278495390847	0 14 56 90 134 156 170 210 260 300 314 336 380 414 456 470	1024204829220
STPT(10)	730514561257122539	0 2 42 44 60 62 78 80 120 122	1306966560912
STPT(10)	730514614235399867	0 2 30 32 42 44 54 56 84 86	1359944838240