Prime p₀= 993334410116022899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 160 2 130 2 4 2 40 2 (?)
a_n: 0 2 72 74 78 80 240 242 372 374 378 380 420 422
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: 422
Found by: stoneageman
db: batch=76, k=14, 70 4 160 130 4 40

TPT(14)	993333616942641941	0 2 30 32 96 98 108 110 288 290 306 308 330 332	-793173380958
TPT(14)	993333787643137049	0 2 180 182 228 230 270 272 390 392 420 422 432 434	-622472885850
STPT(10)	993333826079258087	0 2 54 56 72 74 90 92 144 146	-584036764812
SPT(16)	993333846569298463	0 6 28 64 66 94 108 168 196 256 270 298 300 336 358 364	-563546724436
STPT(10)	993333915903115019	0 2 48 50 60 62 72 74 120 122	-494212907880
SPT(16)	993334265170914889	0 10 22 52 78 84 112 132 190 210 238 244 270 300 312 322	-144945108010
STPT(10)	993334497020575667	0 2 42 44 72 74 102 104 144 146	86904552768
SPT(16)	993334694372369311	0 46 70 78 208 216 228 256 282 310 322 330 460 468 492 538	284256346412
SPT(16)	993334722445157593	0 40 46 64 100 154 166 226 354 414 426 480 516 534 540 580	312329134694
STPT(10)	993334795110600491	0 2 6 8 48 50 90 92 96 98	384994577592
SPT(16)	993334948661210569	0 10 40 42 52 112 148 190 282 324 360 420 430 432 462 472	538545187670