Prime p₀= 2980782746916086069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 118 2 40 2 10 2 28 2 46 2 (?)
a_n: 0 2 18 20 138 140 180 182 192 194 222 224 270 272
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: 272
Found by: Orange Kid
db: batch=82, k=14, 16 118 40 10 28 46

TPT(14)	2980781987162187029	0 2 42 44 48 50 120 122 162 164 180 182 222 224	-759753899040
SPT(16)	2980782049705436503	0 16 28 30 60 70 108 130 156 178 216 226 256 258 270 286	-697210649566
SPT(16)	2980782304545811393	0 4 24 40 46 66 70 84 130 144 148 168 174 190 210 214	-442370274676
SPT(16)	2980782351872687809	0 18 28 42 52 58 150 172 240 262 354 360 370 384 394 412	-395043398260
SPT(16)	2980782611385585089	0 20 54 114 152 200 210 230 234 254 264 312 350 410 444 464	-135530500980
STPT(10)	2980782692531186831	0 2 36 38 78 80 120 122 156 158	-54384899238
STPT(10)	2980783218841187699	0 2 30 32 60 62 90 92 120 122	471925101630
SPT(16)	2980784490378785317	0 34 40 64 66 132 154 156 160 162 184 250 252 276 282 316	1743462699248
SPT(18)	2980784594298440221	0 22 42 112 120 166 216 220 246 262 288 292 342 388 396 466 486 508	1847382354152
SPT(16)	2980784659342045261	0 12 60 66 76 82 102 150 202 250 270 276 286 292 340 352	1912425959192
SPT(16)	2980785049311076181	0 48 66 72 140 152 188 198 290 300 336 348 416 422 440 488	2302394990112