Prime p₀= 1300824603988158581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 16 2 22 2 4 2 28 2 (?)
a_n: 0 2 36 38 48 50 66 68 90 92 96 98 126 128
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: 128
Found by: X_FISH
db: batch=77, k=14, 34 10 16 22 4 28

SPT(16)	1300823565373854733	0 4 58 126 136 148 150 154 180 184 186 198 208 276 330 334	-1038614303848
STPT(10)	1300823647075119521	0 2 6 8 48 50 90 92 96 98	-956913039060
STPT(10)	1300823785310048861	0 2 36 38 78 80 120 122 156 158	-818678109720
SPT(16)	1300824226483515901	0 46 90 96 102 112 136 168 220 252 276 286 292 298 342 388	-377504642680
TPT(14)	1300824492489668057	0 2 42 44 60 62 72 74 84 86 114 116 162 164	-111498490524
SPT(16)	1300824566786985421	0 12 30 58 60 90 130 142 198 210 250 280 282 310 328 340	-37201173160
SPT(16)	1300824994343544149	0 32 54 104 110 174 218 258 314 354 398 462 468 518 540 572	390355385568
SPT(16)	1300825154532571067	0 14 54 74 176 180 200 206 264 270 290 294 396 416 456 470	550544412486
STPT(10)	1300825161163606217	0 2 42 44 72 74 102 104 144 146	557175447636
STPT(10)	1300825752062786627	0 2 60 62 72 74 84 86 144 146	1148074628046
SPT(16)	1300826386227656741	0 6 48 50 56 96 140 146 222 228 272 312 318 320 362 368	1782239498160