Prime p₀= 734523679568394767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 100 2 40 2 46 2 88 2 (?)
a_n: 0 2 42 44 60 62 162 164 204 206 252 254 342 344
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=73, k=14, 40 16 100 40 46 88

SPT(20)	734522371199637173	0 6 26 30 38 60 66 80 128 138 158 168 216 230 236 258 266 270 290 296	-1308368757594
SPT(16)	734522581561889671	0 6 78 90 96 118 132 136 192 196 210 232 238 250 322 328	-1098006505096
SPT(16)	734522633466131519	0 32 38 42 48 80 158 198 284 324 402 434 440 444 450 482	-1046102263248
STPT(10)	734523284759919827	0 2 42 44 72 74 102 104 144 146	-394808474940
TPT(14)	734523569817453329	0 2 42 44 102 104 132 134 138 140 168 170 210 212	-109750941438
SPT(16)	734523673201844621	0 32 50 90 102 138 162 212 228 278 302 338 350 390 408 440	-6366550146
SPT(16)	734523690999857321	0 8 30 92 120 128 162 222 236 296 330 338 366 428 450 458	11431462554
SPT(16)	734523794555472283	0 18 60 66 96 108 118 120 136 138 148 160 190 196 238 256	114987077516
STPT(10)	734523922217140871	0 2 6 8 48 50 90 92 96 98	242648746104
TPT(14)	734524081253070707	0 2 30 32 54 56 102 104 210 212 222 224 294 296	401684675940
STPT(10)	734524194426688847	0 2 30 32 42 44 54 56 84 86	514858294080