Prime p₀= 2999680854292717919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 70 2 76 2 28 2 40 2 (?)
a_n: 0 2 30 32 60 62 132 134 210 212 240 242 282 284
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-FC] hl
db: batch=82, k=14, 28 28 70 76 28 40

SPT(16)	2999677942415575147	0 6 16 30 72 82 90 124 132 166 174 184 226 240 250 256	-2911877142772
SPT(16)	2999678153885035933	0 24 36 46 48 78 114 150 154 190 226 256 258 268 280 304	-2700407681986
SPT(16)	2999678158931331841	0 36 52 126 132 166 178 208 300 330 342 376 382 456 472 508	-2695361386078
SPT(16)	2999678549785357003	0 6 16 36 40 54 84 106 174 196 226 240 244 264 274 280	-2304507360916
STPT(10)	2999679097875889901	0 2 36 38 108 110 180 182 216 218	-1756416828018
STPT(12)	2999680227515022017	0 2 42 44 72 74 192 194 222 224 264 266	-626777695902
SPT(16)	2999681199672379697	0 30 56 126 146 170 200 224 312 336 366 390 410 480 506 536	345379661778
TPT(14)	2999681276283324131	0 2 30 32 78 80 228 230 288 290 300 302 438 440	421990606212
SPT(16)	2999681414683383151	0 12 30 52 82 88 108 208 210 310 330 336 366 388 406 418	560390665232
SPT(16)	2999681653143349217	0 30 54 72 80 96 114 186 290 362 380 396 404 422 446 476	798850631298
STPT(10)	2999681655857635277	0 2 12 14 42 44 72 74 84 86	801564917358