Prime p₀= 2024588935827772997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 70 2 4 2 100 2 16 2 (?)
a_n: 0 2 42 44 102 104 174 176 180 182 282 284 300 302
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: 302
Found by: [AF>Amis des Lapins] Phil1966
db: batch=80, k=14, 40 58 70 4 100 16

SPT(16)	2024587080749039203	0 4 46 96 106 124 138 144 190 196 210 228 238 288 330 334	-1855078733794
SPT(16)	2024587293938925631	0 6 18 60 166 168 210 216 262 268 310 312 418 460 472 478	-1641888847366
STPT(10)	2024587379243275289	0 2 18 20 60 62 102 104 120 122	-1556584497708
SPT(16)	2024587683975070051	0 18 22 60 76 102 106 118 120 132 136 162 178 216 220 238	-1251852702946
STPT(10)	2024587722969073487	0 2 30 32 42 44 54 56 84 86	-1212858699510
SPT(16)	2024588477561073059	0 30 32 38 42 44 60 80 192 212 228 230 234 240 242 272	-458266699938
STPT(10)	2024589294333708407	0 2 30 32 42 44 54 56 84 86	358505935410
SPT(16)	2024589338324517479	0 8 54 78 84 104 110 120 152 162 168 188 194 218 264 272	402496744482
SPT(16)	2024589344514391999	0 24 82 88 100 114 178 214 318 354 418 432 444 450 508 532	408686619002
SPT(16)	2024589368809757327	0 2 6 12 14 44 50 56 90 96 102 132 134 140 144 146	432981984330
TPT(14)	2024589600005735927	0 2 24 26 84 86 90 92 162 164 192 194 204 206	664177962930