Prime p₀= 1311888562904180927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 76 2 82 2 4 2 28 2 (?)
a_n: 0 2 24 26 42 44 120 122 204 206 210 212 240 242
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: 242
Found by: emoga
db: batch=77, k=14, 22 16 76 82 4 28

SPT(16)	1311886990492328947	0 12 30 100 162 190 196 210 352 366 372 400 462 532 550 562	-1572411851980
SPT(16)	1311887447238065647	0 22 46 52 66 102 126 154 162 190 214 250 264 270 294 316	-1115666115280
STPT(10)	1311887464038352337	0 2 54 56 132 134 210 212 264 266	-1098865828590
STPT(10)	1311888194141915777	0 2 90 92 102 104 114 116 204 206	-368762265150
SPT(16)	1311888235295941973	0 14 26 48 50 54 66 116 168 218 230 234 236 258 270 284	-327608238954
SPT(16)	1311888303063694123	0 36 54 60 76 78 144 208 216 280 346 348 364 370 388 424	-259840486804
SPT(16)	1311888755692818167	0 44 74 120 132 140 242 282 284 324 426 434 446 492 522 566	192788637240
STPT(10)	1311889044515341319	0 2 18 20 30 32 42 44 60 62	481611160392
SPT(16)	1311889071876944173	0 4 30 60 64 78 114 126 148 160 196 210 214 244 270 274	508972763246
STPT(10)	1311889475522530319	0 2 48 50 60 62 72 74 120 122	912618349392
SPT(16)	1311889617582402449	0 30 62 120 132 140 164 198 224 258 282 290 302 360 392 422	1054678221522