Prime p₀= 1337118400418655821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 40 2 40 2 16 2 136 2 (?)
a_n: 0 2 30 32 66 68 108 110 150 152 168 170 306 308
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: 308
Found by: Theadalus
db: batch=77, k=14, 28 34 40 40 16 136

STPT(10)	1337116201241833697	0 2 24 26 42 44 60 62 84 86	-2199176822124
SPT(16)	1337116551886483111	0 6 46 112 148 150 168 178 210 220 238 240 276 342 382 388	-1848532172710
STPT(10)	1337116590323730911	0 2 36 38 78 80 120 122 156 158	-1810094924910
STPT(10)	1337116968672078887	0 2 42 44 72 74 102 104 144 146	-1431746576934
SPT(20)	1337118329939574307	0 10 42 60 112 154 196 214 256 352 354 450 492 510 552 594 646 664 696 706	-70479081514
STPT(10)	1337118359982370751	0 2 36 38 78 80 120 122 156 158	-40436285070
SPT(16)	1337118436614261247	0 6 46 90 130 136 144 244 312 412 420 426 466 510 550 556	36195605426
SPT(16)	1337118716845598719	0 40 42 58 160 172 198 204 208 214 240 252 354 370 372 412	316426942898
SPT(16)	1337119219582205947	0 34 42 52 82 90 96 112 114 130 136 144 174 184 192 226	819163550126
SPT(16)	1337119266314226971	0 8 20 50 80 86 90 92 156 158 162 168 198 228 240 248	865895571150
STPT(10)	1337119466015767307	0 2 30 32 42 44 54 56 84 86	1065597111486