Prime p₀= 2515237076865473501 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 106 2 40 2 16 2 22 2 (?)
a_n: 0 2 60 62 78 80 186 188 228 230 246 248 270 272
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: JayPi
db: batch=82, k=14, 58 16 106 40 16 22

TPT(14)	2515234627732624277	0 2 42 44 84 86 210 212 384 386 432 434 564 566	-2449132849224
SPT(16)	2515234805974959319	0 28 58 82 108 132 160 270 292 402 430 454 480 504 534 562	-2270890514182
STPT(10)	2515234995953156831	0 2 6 8 48 50 90 92 96 98	-2080912316670
STPT(12)	2515235120868861647	0 2 12 14 42 44 60 62 90 92 102 104	-1955996611854
SPT(16)	2515235938447090211	0 20 38 72 90 92 168 170 210 212 288 290 308 342 360 380	-1138418383290
SPT(16)	2515236678463035127	0 12 42 126 142 150 186 196 210 220 256 264 280 364 394 406	-398402438374
TPT(14)	2515237183422103067	0 2 12 14 54 56 114 116 174 176 300 302 312 314	106556629566
STPT(10)	2515237555264746617	0 2 30 32 42 44 54 56 84 86	478399273116
SPT(16)	2515237712569947283	0 6 46 70 100 120 136 174 256 294 310 330 360 384 424 430	635704473782
SPT(16)	2515237744935165617	0 14 54 56 86 104 120 132 134 146 162 180 210 212 252 266	668069692116
TPT(14)	2515238501720506097	0 2 54 56 72 74 90 92 174 176 180 182 282 284	1424855032596