Prime p₀= 779080224011045681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 46 2 16 2 112 2 34 2 (?)
a_n: 0 2 48 50 90 92 138 140 156 158 270 272 306 308
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: 308
Found by: Laurent Cheylat
db: batch=73, k=14, 46 40 46 16 112 34

SPT(16)	779078040800453839	0 30 78 102 124 162 172 198 214 240 250 288 310 334 382 412	-2183210591842
SPT(16)	779078719622396579	0 2 24 80 170 180 210 222 392 404 434 444 534 590 612 614	-1504388649102
TPT(14)	779078814972699077	0 2 72 74 114 116 132 134 144 146 222 224 270 272	-1409038346604
STPT(10)	779079180829743551	0 2 6 8 18 20 30 32 36 38	-1043181302130
SPT(16)	779079422689290743	0 54 86 104 128 146 186 224 270 308 348 366 390 408 440 494	-801321754938
SPT(16)	779080019984442217	0 4 16 42 52 54 60 84 142 166 172 174 184 210 222 226	-204026603464
STPT(10)	779080714367436599	0 2 18 20 30 32 42 44 60 62	490356390918
STPT(10)	779080720815286991	0 2 6 8 48 50 90 92 96 98	496804241310
STPT(10)	779080793983943987	0 2 30 32 42 44 54 56 84 86	569972898306
SPT(16)	779080902947268191	0 20 26 30 32 56 78 92 96 110 132 156 158 162 168 188	678936222510
SPT(16)	779081611066955213	0 6 56 68 98 140 156 180 224 248 264 306 336 348 398 404	1387055909532