Prime p₀= 2833307616145073981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 94 2 10 2 40 2 46 2 136 2 (?)
a_n: 0 2 60 62 156 158 168 170 210 212 258 260 396 398
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: 398
Found by: JayPi
db: batch=82, k=14, 58 94 10 40 46 136

STPT(10)	2833305858190676987	0 2 24 26 42 44 60 62 84 86	-1757954396994
STPT(10)	2833306105882532381	0 2 6 8 48 50 90 92 96 98	-1510262541600
STPT(10)	2833306438425122909	0 2 18 20 30 32 42 44 60 62	-1177719951072
SPT(16)	2833306830066945409	0 22 42 60 64 78 90 144 178 232 244 258 262 280 300 322	-786078128572
SPT(16)	2833307373407263913	0 6 26 44 80 98 108 110 144 146 156 174 210 228 248 254	-242737810068
SPT(16)	2833307414322843407	0 24 50 102 122 140 152 164 180 192 204 222 242 294 320 344	-201822230574
TPT(14)	2833308356436294089	0 2 108 110 330 332 342 344 402 404 432 434 630 632	740291220108
SPT(16)	2833308408136568251	0 18 40 42 70 168 172 196 222 246 250 348 376 378 400 418	791991494270
SPT(16)	2833309191781858019	0 38 72 98 110 140 170 192 230 252 282 312 324 350 384 422	1575636784038
SPT(16)	2833309224973045151	0 6 26 36 56 72 152 176 222 246 326 342 362 372 392 398	1608827971170
STPT(10)	2833309371555264359	0 2 18 20 30 32 42 44 60 62	1755410190378