Prime p₀= 2929907578163954957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 40 2 166 2 10 2 16 2 (?)
a_n: 0 2 30 32 72 74 114 116 282 284 294 296 312 314
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: 314
Found by: JonS
db: batch=82, k=14, 28 40 40 166 10 16

STPT(10)	2929905865726179407	0 2 12 14 42 44 72 74 84 86	-1712437775550
SPT(16)	2929906007610830849	0 14 30 60 72 80 144 150 164 170 234 242 254 284 300 314	-1570553124108
STPT(10)	2929906337285695949	0 2 18 20 30 32 42 44 60 62	-1240878259008
TPT(14)	2929906704625159991	0 2 156 158 216 218 336 338 396 398 450 452 480 482	-873538794966
STPT(10)	2929907217463383257	0 2 42 44 72 74 102 104 144 146	-360700571700
SPT(16)	2929907401170608389	0 4 18 100 178 238 268 304 384 420 450 510 588 670 684 688	-176993346568
SPT(16)	2929908155788372189	0 70 72 88 114 142 148 162 190 204 210 238 264 280 282 352	577624417232
SPT(16)	2929908709737840983	0 8 26 140 150 216 218 246 320 348 350 416 426 540 558 566	1131573886026
STPT(10)	2929909091796346547	0 2 24 26 42 44 60 62 84 86	1513632391590
SPT(16)	2929909321134117683	0 8 56 60 104 110 126 128 186 188 204 210 254 258 306 314	1742970162726
STPT(10)	2929909366458408029	0 2 78 80 150 152 222 224 300 302	1788294453072