Prime p₀= 4305599733893738051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 70 2 4 2 40 2 16 2 (?)
a_n: 0 2 36 38 48 50 120 122 126 128 168 170 186 188
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: 188
Found by: Chooka
db: batch=85, k=14, 34 10 70 4 40 16

SPT(16)	4305599221992307091	0 48 62 72 150 156 168 240 248 320 332 338 416 426 440 488	-511901430960
SPT(16)	4305599304882710959	0 18 28 42 70 102 130 132 148 150 178 210 238 252 262 280	-429011027092
SPT(16)	4305599305403371531	0 6 36 40 100 106 132 142 180 190 216 222 282 286 316 322	-428490366520
SPT(16)	4305599337508052539	0 22 82 112 124 160 174 190 222 238 252 288 300 330 390 412	-396385685512
SPT(16)	4305599599615041421	0 12 16 30 42 70 72 136 156 220 222 250 262 276 280 292	-134278696630
SPT(16)	4305599691347389741	0 22 52 70 96 102 130 190 378 438 466 472 498 516 546 568	-42546348310
STPT(10)	4305600429843650219	0 2 42 44 60 62 78 80 120 122	695949912168
STPT(10)	4305600453646656737	0 2 24 26 42 44 60 62 84 86	719752918686
SPT(16)	4305600796461730411	0 16 18 42 106 130 172 210 298 336 378 402 466 490 492 508	1062567992360
STPT(10)	4305601039179237407	0 2 30 32 42 44 54 56 84 86	1305285499356
STPT(10)	4305601489168998047	0 2 30 32 42 44 54 56 84 86	1755275259996