Prime p₀= 1116980405569501997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 4 2 22 2 208 2 (?)
a_n: 0 2 12 14 30 32 54 56 60 62 84 86 294 296
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: 296
Found by: stoneageman
db: batch=76, k=14, 10 16 22 4 22 208

SPT(16)	1116978957194957761	0 16 36 42 58 60 108 142 156 190 238 240 256 262 282 298	-1448374544236
STPT(10)	1116979338963893099	0 2 30 32 60 62 90 92 120 122	-1066605608898
STPT(10)	1116979623878124707	0 2 30 32 42 44 54 56 84 86	-781691377290
STPT(10)	1116979843330536509	0 2 18 20 30 32 42 44 60 62	-562238965488
SPT(18)	1116979912845667757	0 20 50 56 60 80 120 132 144 392 404 416 456 476 480 486 516 536	-492723834240
SPT(16)	1116980223690595003	0 28 34 48 78 88 90 106 108 124 126 136 166 180 186 214	-181878906994
STPT(10)	1116980816412011357	0 2 42 44 72 74 102 104 144 146	410842509360
SPT(16)	1116981047627034803	0 6 90 98 110 120 140 170 174 204 224 234 246 254 338 344	642057532806
SPT(16)	1116981053575580371	0 36 48 66 78 100 112 118 360 366 378 400 412 430 442 478	648006078374
SPT(16)	1116982119527816389	0 70 72 124 148 172 190 250 312 372 390 414 438 490 492 562	1713958314392
STPT(10)	1116982141201498457	0 2 30 32 42 44 54 56 84 86	1735631996460