Prime p₀= 2735941814801170067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 82 2 4 2 10 2 148 2 (?)
a_n: 0 2 72 74 120 122 204 206 210 212 222 224 372 374
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: 374
Found by: Rantanplan
db: batch=82, k=14, 70 46 82 4 10 148

STPT(10)	2735939915435303579	0 2 30 32 60 62 90 92 120 122	-1899365866488
SPT(16)	2735941113202684729	0 24 58 60 82 84 124 138 184 198 238 240 262 264 298 322	-701598485338
TPT(14)	2735941290327421829	0 2 72 74 78 80 120 122 168 170 228 230 240 242	-524473748238
STPT(10)	2735941439825878379	0 2 18 20 30 32 42 44 60 62	-374975291688
STPT(10)	2735941604089282409	0 2 18 20 30 32 42 44 60 62	-210711887658
SPT(16)	2735941701517971931	0 36 46 66 78 102 118 132 166 180 196 220 232 252 262 298	-113283198136
SPT(16)	2735941982896988119	0 18 30 34 52 60 72 130 132 190 202 210 228 232 244 262	168095818052
SPT(16)	2735942363143077701	0 6 8 30 42 90 116 158 240 282 308 356 368 390 392 398	548341907634
TPT(14)	2735942534854257731	0 2 30 32 78 80 120 122 210 212 270 272 300 302	720053087664
SPT(16)	2735943247050501793	0 40 54 90 114 148 166 180 184 198 216 250 274 310 324 364	1432249331726
STPT(10)	2735943365289450101	0 2 30 32 60 62 90 92 120 122	1550488280034