Prime p₀= 2928720728474071577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 70 2 88 2 46 2 28 2 22 2 (?)
a_n: 0 2 60 62 132 134 222 224 270 272 300 302 324 326
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: 326
Found by: eclipse99
db: batch=82, k=14, 58 70 88 46 28 22

SPT(16)	2928719941179359771	0 8 56 96 110 122 132 176 252 296 306 318 332 372 420 428	-787294711806
TPT(16)	2928720045053336669	0 2 42 44 102 104 120 122 282 284 300 302 312 314 342 344	-683420734908
STPT(10)	2928720324333308117	0 2 30 32 42 44 54 56 84 86	-404140763460
STPT(10)	2928720404614905809	0 2 18 20 30 32 42 44 60 62	-323859165768
SPT(16)	2928720411227283031	0 46 72 78 106 112 126 160 228 262 276 282 310 316 342 388	-317246788546
STPT(10)	2928720634539837647	0 2 42 44 72 74 102 104 144 146	-93934233930
STPT(10)	2928720803059056581	0 2 36 38 78 80 120 122 156 158	74584985004
SPT(16)	2928721273138864111	0 30 42 76 82 96 100 208 210 318 322 336 342 376 388 418	544664792534
STPT(10)	2928721484016568577	0 2 30 32 42 44 54 56 84 86	755542497000
SPT(16)	2928722022240809057	0 2 30 86 90 96 110 116 126 132 146 152 156 212 240 242	1293766737480
STPT(10)	2928722157563387357	0 2 12 14 42 44 72 74 84 86	1429089315780