Prime p₀= 981167075465877491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 76 2 10 2 58 2 40 2 58 2 (?)
a_n: 0 2 78 80 156 158 168 170 228 230 270 272 330 332
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: 332
Found by: Theadalus
db: batch=76, k=14, 76 76 10 58 40 58

SPT(16)	981166109695273891	0 6 22 42 48 72 100 142 186 228 256 280 286 306 322 328	-965770603600
STPT(10)	981166132626921359	0 2 18 20 30 32 42 44 60 62	-942838956132
SPT(16)	981166269159241727	0 30 60 80 144 150 272 276 290 294 416 422 486 506 536 566	-806306635764
SPT(16)	981166733407186493	0 24 30 60 84 90 110 126 128 144 164 170 194 224 230 254	-342058690998
SPT(16)	981166811044038271	0 112 132 142 156 160 162 178 210 226 228 232 246 256 276 388	-264421839220
STPT(10)	981166853918452919	0 2 12 14 90 92 168 170 180 182	-221547424572
SPT(18)	981167098391365297	0 40 136 142 196 220 250 256 300 346 390 396 426 450 504 510 606 646	22925487806
SPT(16)	981167428624623391	0 40 46 48 60 78 106 120 208 222 250 268 280 282 288 328	353158745900
STPT(10)	981167679157821317	0 2 30 32 42 44 54 56 84 86	603691943826
STPT(10)	981167852279390681	0 2 6 8 48 50 90 92 96 98	776813513190
SPT(16)	981168573367914857	0 6 14 24 60 66 104 122 144 162 200 206 242 252 260 266	1497902037366