Prime p₀= 2320661285723361167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 16 2 136 2 58 2 22 2 (?)
a_n: 0 2 42 44 54 56 72 74 210 212 270 272 294 296
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: 296
Found by: vinn@[CNT]
db: batch=81, k=14, 40 10 16 136 58 22

SPT(16)	2320660283687719979	0 24 42 54 74 104 110 144 188 222 228 258 278 290 308 332	-1002035641188
SPT(13)	2320660297225478489	0 30 42 72 78 102 120 138 162 168 198 210 240	-988497882678
SPT(16)	2320660662212388271	0 10 18 48 138 150 166 180 256 270 286 298 388 418 426 436	-623510972896
SPT(16)	2320660765627854493	0 28 30 48 154 180 184 198 226 240 244 270 376 394 396 424	-520095506674
TPT(14)	2320660873854525581	0 2 36 38 78 80 108 110 150 152 210 212 240 242	-411868835586
SPT(16)	2320661225481751283	0 14 18 54 60 84 96 140 204 248 260 284 290 326 330 344	-60241609884
STPT(10)	2320661570570113679	0 2 18 20 30 32 42 44 60 62	284846752512
TPT(14)	2320661855522484809	0 2 18 20 30 32 108 110 282 284 318 320 420 422	569799123642
TPT(14)	2320661998996061681	0 2 36 38 48 50 78 80 156 158 186 188 228 230	713272700514
STPT(10)	2320662049048913201	0 2 30 32 78 80 126 128 156 158	763325552034
SPT(16)	2320662369771472399	0 10 12 22 30 54 144 154 180 190 280 304 312 322 324 334	1084048111232