Prime p₀= 730506677130091889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 46 2 88 2 10 2 70 2 34 2 (?)
a_n: 0 2 60 62 108 110 198 200 210 212 282 284 318 320
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: 320
Found by: Theadalus
db: batch=73, k=14, 58 46 88 10 70 34

SPT(16)	730505874637084859	0 8 14 18 78 92 144 192 260 308 360 374 434 438 444 452	-802493007030
SPT(16)	730506157746221999	0 20 48 72 90 98 114 132 140 158 174 182 200 224 252 272	-519383869890
STPT(10)	730506271670341259	0 2 42 44 60 62 78 80 120 122	-405459750630
STPT(10)	730506334280669699	0 2 18 20 30 32 42 44 60 62	-342849422190
STPT(10)	730506544061549819	0 2 12 14 90 92 168 170 180 182	-133068542070
TPT(14)	730506579042319061	0 2 66 68 90 92 138 140 180 182 210 212 306 308	-98087772828
SPT(16)	730506968483517289	0 30 78 84 102 180 190 238 264 312 322 400 418 424 472 502	291353425400
SPT(16)	730507076653323419	0 24 32 50 72 84 92 164 168 240 248 260 282 300 308 332	399523231530
SPT(16)	730507295057023699	0 10 18 52 118 132 138 150 190 202 208 222 288 322 330 340	617926931810
SPT(16)	730507516285419427	0 60 64 66 84 100 102 114 142 154 156 172 190 192 196 256	839155327538
SPT(16)	730508135355818867	0 12 24 26 32 50 54 56 60 62 66 84 90 92 104 116	1458225726978