Prime p₀= 1376586237453727607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 46 2 28 2 40 2 40 2 (?)
a_n: 0 2 60 62 102 104 150 152 180 182 222 224 264 266
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: 266
Found by: [SG-2W]Kurzer
db: batch=77, k=14, 58 40 46 28 40 40

STPT(10)	1376585495853166901	0 2 30 32 78 80 126 128 156 158	-741600560706
TPT(14)	1376585608717731911	0 2 78 80 90 92 168 170 210 212 246 248 270 272	-628735995696
SPT(18)	1376585674372691317	0 64 120 196 220 234 262 280 316 330 366 384 412 426 450 526 582 646	-563081036290
STPT(10)	1376585833558176881	0 2 6 8 48 50 90 92 96 98	-403895550726
SPT(16)	1376586020384908757	0 74 84 86 110 120 140 186 194 240 260 270 294 296 306 380	-217068818850
SPT(16)	1376586129695589181	0 6 28 52 66 76 78 102 136 160 162 172 186 210 232 238	-107758138426
SPT(16)	1376586871602778657	0 24 34 76 90 112 142 196 240 294 324 346 360 402 412 436	634149051050
STPT(10)	1376586991733948177	0 2 30 32 42 44 54 56 84 86	754280220570
SPT(16)	1376587464239032147	0 16 22 40 64 90 100 126 160 186 196 222 246 264 270 286	1226785304540
STPT(10)	1376587533284942357	0 2 30 32 42 44 54 56 84 86	1295831214750
SPT(16)	1376587698536141887	0 52 60 66 70 82 112 124 132 144 174 186 190 196 204 256	1461082414280