Prime p₀= 2522160330908507801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 130 2 76 2 16 2 28 2 (?)
a_n: 0 2 30 32 78 80 210 212 288 290 306 308 336 338
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: 338
Found by: JayPi
db: batch=82, k=14, 28 46 130 76 16 28

SPT(16)	2522159717487448201	0 16 18 30 42 66 70 130 168 228 232 256 268 280 282 298	-613421059600
SPT(16)	2522159743115931943	0 10 30 78 126 138 166 168 178 180 208 220 268 316 336 346	-587792575858
STPT(10)	2522160029183974349	0 2 18 20 60 62 102 104 120 122	-301724533452
SPT(16)	2522160048197314753	0 18 34 48 100 118 166 196 228 258 306 324 376 390 406 424	-282711193048
SPT(16)	2522160202671219499	0 48 54 70 72 82 148 154 258 264 330 340 342 358 364 412	-128237288302
STPT(10)	2522160215084635649	0 2 18 20 30 32 42 44 60 62	-115823872152
SPT(16)	2522160577396387507	0 16 24 40 112 132 156 180 196 220 244 264 336 352 360 376	246487879706
SPT(16)	2522161053377072671	0 12 22 36 40 78 88 102 106 120 130 168 172 186 196 208	722468564870
STPT(10)	2522161181047022687	0 2 30 32 42 44 54 56 84 86	850138514886
STPT(12)	2522161207329737159	0 2 42 44 90 92 222 224 270 272 312 314	876421229358
SPT(16)	2522161606592162267	0 24 62 80 102 110 116 152 264 300 306 314 336 354 392 416	1275683654466