Prime p₀= 1304038962094399469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 40 2 100 2 16 2 10 2 (?)
a_n: 0 2 30 32 78 80 120 122 222 224 240 242 252 254
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: 254
Found by: [SG-2W]Kurzer
db: batch=77, k=14, 28 46 40 100 16 10

SPT(16)	1304036964123073861	0 42 52 102 108 120 142 168 340 366 388 400 406 456 466 508	-1997971325608
SPT(16)	1304037778114624229	0 14 42 48 62 74 92 98 264 270 288 300 314 320 348 362	-1183979775240
STPT(10)	1304037906773203541	0 2 30 32 60 62 90 92 120 122	-1055321195928
STPT(10)	1304037913136636939	0 2 18 20 30 32 42 44 60 62	-1048957762530
SPT(16)	1304037964160990731	0 12 112 126 148 150 310 312 316 318 478 480 502 516 616 628	-997933408738
SPT(16)	1304038876437142871	0 6 26 36 42 78 146 152 246 252 320 356 362 372 392 398	-85657256598
STPT(10)	1304039189373880007	0 2 42 44 72 74 102 104 144 146	227279480538
SPT(16)	1304039306507896181	0 26 32 66 152 158 182 240 308 366 390 396 482 516 522 548	344413496712
STPT(10)	1304039779283545397	0 2 30 32 60 62 90 92 120 122	817189145928
STPT(10)	1304039844927723257	0 2 54 56 72 74 90 92 144 146	882833323788
SPT(16)	1304039856235776529	0 18 48 52 78 84 100 102 160 162 178 184 210 214 244 262	894141377060