Prime p₀= 724873726708722191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 16 2 70 2 64 2 58 2 22 2 (?)
a_n: 0 2 150 152 168 170 240 242 306 308 366 368 390 392
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: 392
Found by: EarlyBird@Zircons
db: batch=73, k=14, 148 16 70 64 58 22

STPT(10)	724872587212762169	0 2 18 20 30 32 42 44 60 62	-1139495960022
STPT(10)	724872689699190629	0 2 42 44 60 62 78 80 120 122	-1037009531562
SPT(16)	724872887732869819	0 4 10 30 82 102 132 150 202 220 250 270 322 342 348 352	-838975852372
SPT(16)	724873190701978249	0 10 18 52 88 130 138 144 148 154 162 204 240 274 282 292	-536006743942
STPT(10)	724873461447243917	0 2 30 32 42 44 54 56 84 86	-265261478274
SPT(16)	724873518239507677	0 36 40 42 76 82 112 186 196 270 300 306 340 342 346 382	-208469214514
SPT(16)	724873861370327563	0 4 10 46 70 76 88 100 144 156 168 174 198 234 240 244	134661605372
SPT(16)	724874221736925739	0 34 70 72 78 94 108 112 120 124 138 154 160 162 198 232	495028203548
STPT(10)	724874360062991189	0 2 18 20 30 32 42 44 60 62	633354268998
TPT(14)	724874360062991189	0 2 18 20 30 32 42 44 60 62 78 80 132 134	633354268998
SPT(16)	724874482546483483	0 4 54 58 60 88 96 114 130 148 156 184 186 190 240 244	755837761292