Prime p₀= 1311789710166189047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 76 2 10 2 10 2 106 2 (?)
a_n: 0 2 54 56 132 134 210 212 222 224 234 236 342 344
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: vinn@[CNT]
db: batch=77, k=14, 52 76 76 10 10 106

SPT(16)	1311788889151577773	0 48 66 70 76 84 150 154 180 184 250 258 264 268 286 334	-821014611274
STPT(10)	1311788897820335327	0 2 84 86 162 164 240 242 324 326	-812345853720
SPT(16)	1311788945982523997	0 42 66 72 132 150 156 170 186 200 206 224 284 290 314 356	-764183665050
SPT(16)	1311789024508252991	0 2 18 68 72 120 152 156 182 186 218 266 270 320 336 338	-685657936056
SPT(16)	1311789248449474099	0 30 60 90 100 160 172 184 240 252 264 324 334 364 394 424	-461716714948
STPT(10)	1311789445106552351	0 2 36 38 78 80 120 122 156 158	-265059636696
STPT(10)	1311790332510868277	0 2 12 14 42 44 72 74 84 86	622344679230
SPT(16)	1311790954006499459	0 8 20 30 42 80 120 212 258 350 390 428 440 450 462 470	1243840310412
STPT(10)	1311791447640154277	0 2 24 26 42 44 60 62 84 86	1737473965230
STPT(10)	1311791467734731717	0 2 30 32 42 44 54 56 84 86	1757568542670
TPT(14)	1311791823602118569	0 2 138 140 168 170 198 200 228 230 432 434 480 482	2113435929522