Prime p₀= 1957876050872014199 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 34 2 10 2 10 2 58 2 4 2 (?)
a_n: 0 2 132 134 168 170 180 182 192 194 252 254 258 260
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: 260
Found by: kashi
db: batch=80, k=14, 130 34 10 10 58 4

TPT(14)	1957873768339316129	0 2 12 14 78 80 120 122 150 152 222 224 390 392	-2282532698070
SPT(16)	1957874028134351321	0 18 36 42 66 68 78 98 180 200 210 212 236 242 260 278	-2022737662878
STPT(10)	1957874560698628697	0 2 30 32 72 74 114 116 144 146	-1490173385502
SPT(16)	1957874620927960957	0 60 70 102 136 202 256 292 384 420 474 540 574 606 616 676	-1429944053242
SPT(16)	1957874743838188033	0 4 6 34 36 78 166 174 250 258 346 388 390 418 420 424	-1307033826166
SPT(16)	1957875178058053693	0 4 36 96 126 160 204 234 316 346 390 424 454 514 546 550	-872813960506
STPT(10)	1957876261363792841	0 2 30 32 78 80 126 128 156 158	210491778642
SPT(16)	1957876263851619149	0 8 42 48 68 78 104 140 162 198 224 234 254 260 294 302	212979604950
SPT(16)	1957876413862815253	0 10 30 58 108 114 126 136 168 178 190 196 246 274 294 304	362990801054
SPT(16)	1957876656831248863	0 58 64 66 106 108 114 120 154 160 166 168 208 210 216 274	605959234664
SPT(16)	1957876995054900631	0 10 28 60 88 96 118 148 150 180 202 210 238 270 288 298	944182886432