Prime p₀= 2401968317939666057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 76 2 28 2 40 2 28 2 (?)
a_n: 0 2 72 74 84 86 162 164 192 194 234 236 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 70 10 76 28 40 28

SPT(16)	2401967631309433961	0 2 26 50 60 86 92 102 170 180 186 212 222 246 270 272	-686630232096
TPT(14)	2401967757726409667	0 2 12 14 54 56 60 62 312 314 342 344 354 356	-560213256390
STPT(10)	2401967815856338967	0 2 30 32 42 44 54 56 84 86	-502083327090
SPT(16)	2401967951155805453	0 14 24 36 44 150 254 260 270 276 380 486 494 506 516 530	-366783860604
SPT(16)	2401968057697422833	0 20 26 38 78 146 150 156 188 194 198 266 306 318 324 344	-260242243224
SPT(16)	2401968109162316833	0 6 24 40 48 106 118 220 234 336 348 406 414 430 448 454	-208777349224
STPT(10)	2401969361520668117	0 2 180 182 192 194 204 206 384 386	1043581002060
TPT(14)	2401969738364621651	0 2 48 50 78 80 90 92 198 200 210 212 246 248	1420424955594
SPT(16)	2401969967558643857	0 14 30 42 60 84 90 140 144 194 200 224 242 254 270 284	1649618977800
SPT(16)	2401970177217323003	0 44 98 170 180 186 224 240 284 300 338 344 354 426 480 524	1859277656946
SPT(16)	2401970181096170383	0 4 24 34 58 66 70 100 144 174 178 186 210 220 240 244	1863156504326