Prime p₀= 2827051355529975527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 130 2 148 2 4 2 22 2 (?)
a_n: 0 2 30 32 42 44 174 176 324 326 330 332 354 356
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: 356
Found by: JayPi
db: batch=82, k=14, 28 10 130 148 4 22

STPT(10)	2827049618023912007	0 2 24 26 42 44 60 62 84 86	-1737506063520
SPT(16)	2827049694034455599	0 14 110 120 128 162 180 194 198 212 230 264 272 282 378 392	-1661495519928
SPT(16)	2827049843487701077	0 16 22 36 46 60 96 184 192 280 316 330 340 354 360 376	-1512042274450
TPT(14)	2827050097008974531	0 2 30 32 60 62 90 92 156 158 168 170 186 188	-1258521000996
STPT(10)	2827050631277602979	0 2 18 20 30 32 42 44 60 62	-724252372548
SPT(16)	2827051054591344923	0 24 60 110 174 240 264 270 320 326 350 416 480 530 566 590	-300938630604
SPT(16)	2827051470703873339	0 10 24 58 78 90 94 112 120 138 142 154 174 208 222 232	115173897812
SPT(16)	2827052016170163503	0 38 54 108 126 150 156 170 234 248 254 278 296 350 366 404	660640187976
STPT(10)	2827052293293113927	0 2 30 32 42 44 54 56 84 86	937763138400
SPT(16)	2827052529985624397	0 44 72 74 90 146 174 182 204 212 240 296 312 314 342 386	1174455648870
SPT(16)	2827052639233721081	0 60 122 152 156 170 242 248 270 276 348 362 366 396 458 518	1283703745554