Prime p₀= 2253518778671316617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 10 2 106 2 16 2 28 2 (?)
a_n: 0 2 30 32 102 104 114 116 222 224 240 242 270 272
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: samuraiii
db: batch=81, k=14, 28 70 10 106 16 28

SPT(16)	2253517985509343341	0 22 70 78 90 96 162 210 328 376 442 448 460 468 516 538	-793161973276
SPT(16)	2253518000971545569	0 18 44 48 50 84 108 114 134 140 164 198 200 204 230 248	-777699771048
TPT(14)	2253518011894732199	0 2 78 80 108 110 138 140 210 212 282 284 390 392	-766776584418
SPT(16)	2253518161136526509	0 38 42 80 92 110 122 134 168 180 192 210 222 260 264 302	-617534790108
TPT(14)	2253518420388134519	0 2 12 14 138 140 198 200 222 224 252 254 270 272	-358283182098
STPT(10)	2253518552078111777	0 2 42 44 132 134 222 224 264 266	-226593204840
SPT(16)	2253518884043547829	0 10 22 42 90 114 132 150 244 262 280 304 352 372 384 394	105372231212
SPT(16)	2253519015855102251	0 42 60 78 110 132 188 198 242 252 308 330 362 380 398 440	237183785634
STPT(10)	2253519043517132117	0 2 24 26 42 44 60 62 84 86	264845815500
SPT(16)	2253519243164645609	0 20 54 72 108 114 158 174 248 264 308 314 350 368 402 422	464493328992
SPT(16)	2253519464716275127	0 10 22 54 60 84 124 126 190 192 232 256 262 294 306 316	686044958510