Prime p₀= 1377231937925923349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 76 2 28 2 28 2 10 2 (?)
a_n: 0 2 72 74 132 134 210 212 240 242 270 272 282 284
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: 284
Found by: [SG-2W]Kurzer
db: batch=77, k=14, 70 58 76 28 28 10

SPT(16)	1377231351457325317	0 24 42 46 66 130 160 202 204 246 276 340 360 364 382 406	-586468598032
STPT(10)	1377231641345662769	0 2 18 20 60 62 102 104 120 122	-296580260580
SPT(16)	1377231752346304157	0 24 72 80 86 114 122 146 150 174 182 210 216 224 272 296	-185579619192
STPT(10)	1377231787696743239	0 2 48 50 60 62 72 74 120 122	-150229180110
SPT(16)	1377231859553127659	0 30 48 78 90 92 98 144 158 204 210 212 224 254 272 302	-78372795690
STPT(10)	1377231880804738097	0 2 42 44 72 74 102 104 144 146	-57121185252
SPT(18)	1377232088282861911	0 28 106 196 256 270 276 286 298 360 372 382 388 402 462 552 630 658	150356938562
SPT(16)	1377232531342869881	0 30 32 108 120 138 186 240 248 302 350 368 380 456 458 488	593416946532
SPT(16)	1377232982594608081	0 42 46 108 118 120 220 298 360 438 538 540 550 612 616 658	1044668684732
STPT(12)	1377233057554935671	0 2 30 32 60 62 96 98 126 128 156 158	1119629012322
SPT(16)	1377233155021949933	0 44 60 80 96 138 170 200 204 234 266 308 324 344 360 404	1217096026584