Prime p₀= 1947358582834599899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 130 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 108 110 240 242 252 254 282 284 312 314
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: Landjunge
db: batch=80, k=14, 28 76 130 10 28 28

TPT(14)	1947357135783395447	0 2 24 26 60 62 72 74 210 212 222 224 234 236	-1447051204452
STPT(10)	1947357348443772821	0 2 6 8 108 110 210 212 216 218	-1234390827078
SPT(16)	1947357983892782267	0 6 32 36 42 122 126 164 252 290 294 374 380 384 410 416	-598941817632
STPT(10)	1947358056555631409	0 2 18 20 30 32 42 44 60 62	-526278968490
STPT(10)	1947358300638885611	0 2 36 38 78 80 120 122 156 158	-282195714288
SPT(18)	1947358322905009967	0 30 36 44 50 122 144 182 200 336 354 392 414 486 492 500 506 536	-259929589932
SPT(16)	1947358616267456719	0 10 12 22 54 64 78 84 88 94 108 118 150 160 162 172	33432856820
SPT(16)	1947358703007005419	0 24 42 70 82 124 154 174 208 228 258 300 312 340 358 382	120172405520
SPT(16)	1947358806552713419	0 10 12 40 60 64 78 82 90 94 108 112 132 160 162 172	223718113520
SPT(16)	1947358835106583277	0 14 32 42 44 66 114 126 140 152 200 222 224 234 252 266	252271983378
SPT(16)	1947359160093123089	0 62 102 134 200 210 230 242 252 264 284 294 360 392 432 494	577258523190