Prime p₀= 2459958272538815537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 88 2 40 2 46 2 40 2 (?)
a_n: 0 2 12 14 60 62 150 152 192 194 240 242 282 284
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: JayPi
db: batch=82, k=14, 10 46 88 40 46 40

SPT(16)	2459957317959252913	0 58 64 90 204 244 250 280 294 324 330 370 484 510 516 574	-954579562624
SPT(16)	2459957468002715561	0 38 60 66 80 86 126 138 170 182 222 228 242 248 270 308	-804536099976
SPT(20)	2459957693825146981	0 12 22 36 46 70 72 78 82 100 168 186 190 196 198 222 232 246 256 268	-578713668556
TPT(14)	2459958020051698091	0 2 6 8 120 122 210 212 300 302 366 368 396 398	-252487117446
SPT(16)	2459958123114917417	0 6 14 26 102 114 116 146 150 180 182 194 270 282 290 296	-149423898120
SPT(13)	2459958210599498629	0 30 42 72 102 108 150 192 198 228 258 270 300	-61939316908
STPT(10)	2459958451880557721	0 2 30 32 60 62 90 92 120 122	179341742184
STPT(10)	2459958534793486169	0 2 18 20 60 62 102 104 120 122	262254670632
SPT(16)	2459958623051563451	0 30 32 80 86 132 140 168 230 258 266 312 318 366 368 398	350512747914
SPT(16)	2459959178882265707	0 12 50 80 140 194 230 264 290 324 360 414 474 504 542 554	906343450170
STPT(10)	2459959228802272331	0 2 36 38 78 80 120 122 156 158	956263456794