Prime p₀= 2399837746316877701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 118 2 28 2 28 2 58 2 10 2 (?)
a_n: 0 2 48 50 168 170 198 200 228 230 288 290 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 46 118 28 28 58 10

SPT(16)	2399835867309798089	0 14 42 60 72 74 90 132 170 212 228 230 242 260 288 302	-1879007079612
SPT(16)	2399835902433658639	0 42 60 82 90 100 114 142 252 280 294 304 312 334 352 394	-1843883219062
SPT(16)	2399836844543301061	0 6 16 30 52 66 90 160 198 268 292 306 328 342 352 358	-901773576640
SPT(16)	2399836859995337801	0 38 78 110 120 126 140 168 188 216 230 236 246 278 318 356	-886321539900
SPT(16)	2399836892325078499	0 10 28 30 42 54 118 168 184 234 298 310 322 324 342 352	-853991799202
STPT(10)	2399837704650167141	0 2 6 8 48 50 90 92 96 98	-41666710560
STPT(10)	2399837829174713069	0 2 18 20 30 32 42 44 60 62	82857835368
SPT(16)	2399837868556937437	0 12 40 46 70 72 82 90 136 144 154 156 180 186 214 226	122240059736
STPT(10)	2399838132536994839	0 2 18 20 30 32 42 44 60 62	386220117138
SPT(16)	2399838687185869009	0 10 22 28 90 124 192 202 210 220 288 322 384 390 402 412	940868991308
SPT(16)	2399838773524076597	0 30 56 86 116 164 170 174 182 186 192 240 270 300 326 356	1027207198896