Prime p₀= 2437376334468550337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 70 2 34 2 118 2 52 2 (?)
a_n: 0 2 90 92 102 104 174 176 210 212 330 332 384 386
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: 386
Found by: [SG-FC] hl
db: batch=82, k=14, 88 10 70 34 118 52

SPT(16)	2437373980291678403	0 20 26 44 48 56 96 140 264 308 348 356 360 378 384 404	-2354176871934
STPT(10)	2437374405683441141	0 2 30 32 78 80 126 128 156 158	-1928785109196
SPT(16)	2437375437876282781	0 12 22 78 96 148 160 168 190 198 210 262 280 336 346 358	-896592267556
SPT(16)	2437375532254839227	0 36 44 62 80 140 174 182 234 242 276 336 354 372 380 416	-802213711110
STPT(10)	2437375836616588139	0 2 18 20 30 32 42 44 60 62	-497851962198
SPT(16)	2437375997912864069	0 98 122 144 164 168 182 200 252 270 284 288 308 330 354 452	-336555686268
SPT(16)	2437376599049215757	0 14 90 96 114 146 152 164 282 294 300 332 350 356 432 446	264580665420
SPT(16)	2437376750212893821	0 2 78 80 90 132 140 146 192 198 206 248 258 260 336 338	415744343484
STPT(10)	2437376840985241427	0 2 24 26 42 44 60 62 84 86	506516691090
STPT(10)	2437376928217688687	0 2 24 26 42 44 60 62 84 86	593749138350
STPT(10)	2437376991678824357	0 2 30 32 42 44 54 56 84 86	657210274020