Prime p₀= 2907177278146250279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 112 2 28 2 64 2 28 2 40 2 (?)
a_n: 0 2 18 20 132 134 162 164 228 230 258 260 300 302
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: 302
Found by: Landjunge
db: batch=82, k=14, 16 112 28 64 28 40

SPT(16)	2907176196535925689	0 4 18 22 30 130 148 154 198 204 222 322 330 334 348 352	-1081610324590
SPT(16)	2907176290484731691	0 6 18 56 90 116 156 158 180 182 222 248 282 320 332 338	-987661518588
STPT(10)	2907176306008564547	0 2 42 44 72 74 102 104 144 146	-972137685732
SPT(16)	2907176510262367073	0 38 44 84 170 198 234 278 306 350 386 414 500 540 546 584	-767883883206
SPT(18)	2907176768546950847	0 114 156 176 194 246 260 266 282 344 360 366 380 432 450 470 512 626	-509599299432
TPT(14)	2907177167848236287	0 2 30 32 42 44 54 56 144 146 270 272 300 302	-110298013992
SPT(16)	2907177660421358321	0 30 32 60 98 200 222 240 308 326 348 450 488 516 518 548	382275108042
STPT(10)	2907177680889355889	0 2 78 80 120 122 162 164 240 242	402743105610
SPT(16)	2907178101629932181	0 50 72 80 86 126 156 168 200 212 242 282 288 296 318 368	823483681902
STPT(10)	2907178335730768367	0 2 30 32 72 74 114 116 144 146	1057584518088
STPT(10)	2907178352999765111	0 2 36 38 78 80 120 122 156 158	1074853514832