Prime p₀= 2013681692322733709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 76 2 10 2 28 2 88 2 (?)
a_n: 0 2 48 50 90 92 168 170 180 182 210 212 300 302
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: 302
Found by: Chooka
db: batch=80, k=14, 46 40 76 10 28 88

STPT(10)	2013680307400138841	0 2 36 38 78 80 120 122 156 158	-1384922594868
STPT(10)	2013680483516758517	0 2 24 26 42 44 60 62 84 86	-1208805975192
SPT(16)	2013680691727345717	0 10 102 114 126 150 180 196 240 256 286 310 322 334 426 436	-1000595387992
SPT(16)	2013681194171474063	0 66 78 84 90 140 144 188 246 290 294 344 350 356 368 434	-498151259646
SPT(16)	2013681338780299843	0 28 70 90 106 118 120 130 144 154 156 168 184 204 246 274	-353542433866
SPT(16)	2013681567754579951	0 18 28 46 72 106 120 160 198 238 252 286 312 330 340 358	-124568153758
SPT(16)	2013681825032544677	0 84 90 114 140 152 206 216 230 240 294 306 332 356 362 446	132709810968
SPT(16)	2013682023539331553	0 28 46 48 70 94 106 150 154 198 210 234 256 258 276 304	331216597844
SPT(16)	2013682090638783749	0 2 42 72 78 92 122 158 174 210 240 254 260 290 330 332	398316050040
SPT(16)	2013682158315961303	0 10 60 70 84 88 100 130 198 228 240 244 258 268 318 328	465993227594
SPT(16)	2013682296234105727	0 42 96 112 132 156 174 180 286 292 310 334 354 370 424 466	603911372018