Prime p₀= 1319592812317163441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 100 2 130 2 34 2 10 2 (?)
a_n: 0 2 78 80 96 98 198 200 330 332 366 368 378 380
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: 380
Found by: Theadalus
db: batch=77, k=14, 76 16 100 130 34 10

TPT(14)	1319591579180351417	0 2 54 56 90 92 132 134 204 206 210 212 252 254	-1233136812024
SPT(16)	1319592021544234379	0 14 32 42 62 102 144 162 200 218 260 300 320 330 348 362	-790772929062
STPT(10)	1319592046399907279	0 2 18 20 30 32 42 44 60 62	-765917256162
STPT(10)	1319592162945440141	0 2 6 8 18 20 30 32 36 38	-649371723300
SPT(16)	1319592357152158421	0 12 36 38 78 90 96 126 272 302 308 320 360 362 386 398	-455165005020
SPT(16)	1319592438619614959	0 38 42 44 72 74 78 128 204 254 258 260 288 290 294 332	-373697548482
STPT(12)	1319592926558226557	0 2 12 14 30 32 54 56 72 74 84 86	114241063116
STPT(10)	1319593028929270367	0 2 24 26 42 44 60 62 84 86	216612106926
SPT(16)	1319593326445289933	0 6 66 74 116 156 170 186 188 204 218 258 300 308 368 374	514128126492
SPT(16)	1319593350992386033	0 54 78 84 100 114 144 154 300 310 340 354 370 376 400 454	538675222592
SPT(20)	1319593399241332133	0 8 48 84 144 146 158 188 224 240 314 330 366 396 408 410 470 506 546 554	586924168692