Prime p₀= 2288525803052416511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 58 2 70 2 76 2 16 2 (?)
a_n: 0 2 6 8 78 80 138 140 210 212 288 290 306 308
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: Orange Kid
db: batch=81, k=14, 4 70 58 70 76 16

SPT(18)	2288524483352415199	0 42 52 72 90 100 118 124 294 358 528 534 552 562 580 600 610 652	-1319700001312
SPT(16)	2288524658389698151	0 22 36 52 66 100 132 220 222 310 342 376 390 406 420 442	-1144662718360
SPT(16)	2288524850006382791	0 30 60 66 108 116 126 140 168 182 192 200 242 248 278 308	-953046033720
SPT(16)	2288525036034572977	0 4 46 54 76 94 102 124 132 154 162 180 202 210 252 256	-767017843534
SPT(16)	2288525266048721173	0 6 28 34 40 66 70 96 148 174 178 204 210 216 238 244	-537003695338
SPT(16)	2288525659121082709	0 40 42 118 124 138 160 264 298 402 424 438 444 520 522 562	-143931333802
TPT(14)	2288526489771657851	0 2 60 62 78 80 156 158 198 200 258 260 366 368	686719241340
STPT(10)	2288526684695020727	0 2 12 14 42 44 72 74 84 86	881642604216
STPT(10)	2288527031107680617	0 2 60 62 102 104 144 146 204 206	1228055264106
STPT(10)	2288527079523493337	0 2 42 44 72 74 102 104 144 146	1276471076826
SPT(16)	2288527152154377709	0 22 42 72 168 178 208 210 220 222 252 262 358 388 408 430	1349101961198