Prime p₀= 2401948861447982081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 28 2 22 2 124 2 28 2 (?)
a_n: 0 2 96 98 156 158 186 188 210 212 336 338 366 368
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: 368
Found by: JayPi
db: batch=82, k=14, 94 58 28 22 124 28

TPT(14)	2401947788415544931	0 2 78 80 156 158 240 242 366 368 378 380 396 398	-1073032437150
SPT(16)	2401947849904740433	0 4 24 36 64 126 130 150 154 174 178 240 268 280 300 304	-1011543241648
SPT(16)	2401948073103261581	0 20 38 72 90 140 170 188 192 210 240 290 308 342 360 380	-788344720500
STPT(10)	2401948153413811547	0 2 30 32 42 44 54 56 84 86	-708034170534
SPT(16)	2401948378655242231	0 22 52 58 72 78 90 156 202 268 280 286 300 306 336 358	-482792739850
SPT(16)	2401948571090069887	0 54 70 72 112 156 162 204 292 334 340 384 424 426 442 496	-290357912194
TPT(14)	2401949211360689279	0 2 102 104 168 170 210 212 312 314 330 332 420 422	349912707198
STPT(10)	2401949586563652077	0 2 30 32 42 44 54 56 84 86	725115669996
SPT(16)	2401949787320415523	0 10 46 78 90 130 168 174 190 196 234 274 286 318 354 364	925872433442
STPT(10)	2401949834554081697	0 2 30 32 72 74 114 116 144 146	973106099616
STPT(10)	2401950028290561347	0 2 30 32 42 44 54 56 84 86	1166842579266