Prime p₀= 2119881568007646659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 106 2 22 2 46 2 40 2 (?)
a_n: 0 2 30 32 60 62 168 170 192 194 240 242 282 284
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=80, k=14, 28 28 106 22 46 40

SPT(16)	2119880938065422947	0 4 34 90 202 220 226 244 252 270 276 294 406 462 492 496	-629942223712
SPT(16)	2119880966537776259	0 2 12 20 24 32 90 98 114 122 180 188 192 200 210 212	-601469870400
STPT(10)	2119881090925323431	0 2 96 98 138 140 180 182 276 278	-477082323228
SPT(16)	2119881328390427447	0 6 54 74 84 140 174 186 224 236 270 326 336 356 404 410	-239617219212
STPT(10)	2119881429551714357	0 2 42 44 72 74 102 104 144 146	-138455932302
SPT(16)	2119881495254196851	0 20 56 66 90 176 210 218 258 266 300 386 410 420 456 476	-72753449808
STPT(10)	2119881722126027537	0 2 60 62 72 74 84 86 144 146	154118380878
SPT(16)	2119881943948928603	0 20 48 80 104 114 126 156 188 218 230 240 264 296 324 344	375941281944
TPT(14)	2119881965861972537	0 2 84 86 162 164 210 212 234 236 414 416 474 476	397854325878
SPT(16)	2119882290320668297	0 30 72 84 144 154 166 204 232 270 282 292 352 364 406 436	722313021638
TPT(16)	2119882513400255561	0 2 18 20 60 62 66 68 126 128 150 152 270 272 276 278	945392608902