Prime p₀= 2142566476009824251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 22 2 64 2 28 2 112 2 (?)
a_n: 0 2 6 8 36 38 60 62 126 128 156 158 270 272
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: 272
Found by: Chaunton
db: batch=80, k=14, 4 28 22 64 28 112

TPT(14)	2142564041933255891	0 2 18 20 30 32 60 62 66 68 198 200 228 230	-2434076568360
STPT(10)	2142564545640179429	0 2 18 20 30 32 42 44 60 62	-1930369644822
SPT(16)	2142564564398616649	0 4 42 70 114 162 184 198 214 228 250 298 342 370 408 412	-1911611207602
SPT(16)	2142564836695566761	0 38 48 66 78 90 216 218 258 260 386 398 410 428 438 476	-1639314257490
SPT(18)	2142565434391786619	0 20 48 54 62 78 90 120 140 222 242 272 284 300 308 314 342 362	-1041618037632
SPT(16)	2142565696997385487	0 16 24 42 46 64 102 114 142 154 192 210 214 232 240 256	-779012438764
SPT(16)	2142566730504092071	0 12 22 58 78 112 126 130 138 142 156 190 210 246 256 268	254494267820
SPT(16)	2142567613159888157	0 14 26 36 50 60 66 84 92 110 116 126 140 150 162 176	1137150063906
SPT(16)	2142567952804661813	0 6 14 26 36 74 90 110 120 140 156 194 204 216 224 230	1476794837562
SPT(16)	2142568476427182079	0 22 34 42 72 84 94 100 132 138 148 160 190 198 210 232	2000417357828
SPT(16)	2142568779961659713	0 6 30 44 114 138 156 198 206 248 266 290 360 374 398 404	2303951835462