Prime p₀= 1591100720313004487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 208 2 10 2 4 2 148 2 (?)
a_n: 0 2 30 32 42 44 252 254 264 266 270 272 420 422
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: 422
Found by: xii5ku
db: batch=78, k=14, 28 10 208 10 4 148

SPT(16)	1591099349797188859	0 34 70 78 82 112 130 144 148 162 180 210 214 222 258 292	-1370515815628
STPT(10)	1591100063772907451	0 2 30 32 78 80 126 128 156 158	-656540097036
SPT(16)	1591100140975069531	0 16 22 42 60 118 178 190 198 210 270 328 346 366 372 388	-579337934956
STPT(10)	1591100264788420229	0 2 18 20 30 32 42 44 60 62	-455524584258
SPT(16)	1591100432121767969	0 2 12 20 54 80 128 150 212 234 282 308 342 350 360 362	-288191236518
STPT(10)	1591100556650206907	0 2 30 32 42 44 54 56 84 86	-163662797580
SPT(16)	1591100745053320607	0 32 54 66 80 120 164 186 200 222 266 306 320 332 354 386	24740316120
STPT(10)	1591101006678031757	0 2 30 32 42 44 54 56 84 86	286365027270
SPT(16)	1591101045136963303	0 4 10 30 130 136 150 184 186 220 234 240 340 360 366 370	324823958816
SPT(16)	1591101097283256023	0 48 156 168 180 210 230 300 344 414 434 464 476 488 596 644	376970251536
SPT(16)	1591101140743860077	0 2 12 24 54 72 92 126 260 294 314 332 362 374 384 386	420430855590