Prime p₀= 1311744287001507089 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 172 2 34 2 28 2 10 2 10 2 (?)
a_n: 0 2 78 80 252 254 288 290 318 320 330 332 342 344
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: 344
Found by: Theadalus
db: batch=77, k=14, 76 172 34 28 10 10

STPT(10)	1311743514722124089	0 2 48 50 90 92 132 134 180 182	-772279383000
SPT(18)	1311743794983515819	0 2 14 18 32 38 80 120 128 204 212 252 294 300 314 318 330 332	-492017991270
TPT(14)	1311743853023828351	0 2 30 32 150 152 240 242 306 308 330 332 336 338	-433977678738
STPT(12)	1311744059511551957	0 2 54 56 90 92 174 176 210 212 264 266	-227489955132
STPT(10)	1311744152721909029	0 2 12 14 30 32 48 50 60 62	-134279598060
SPT(16)	1311744260136959059	0 4 28 48 52 60 130 132 190 192 262 270 274 294 318 322	-26864548030
SPT(16)	1311744402488190899	0 12 18 30 72 90 114 120 152 158 182 200 242 254 260 272	115486683810
STPT(10)	1311744918194516537	0 2 30 32 42 44 54 56 84 86	631193009448
SPT(16)	1311745422367531087	0 30 96 114 150 186 192 214 222 244 250 286 322 340 406 436	1135366023998
SPT(16)	1311745529141399939	0 2 20 54 60 72 74 110 132 168 170 182 188 222 240 242	1242139892850
SPT(16)	1311745854120758153	0 6 54 96 116 164 168 186 188 206 210 258 278 320 368 374	1567119251064