Prime p₀= 2566542240206974619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 4 2 22 2 16 2 (?)
a_n: 0 2 30 32 42 44 72 74 78 80 102 104 120 122
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: 122
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 10 28 4 22 16

TPT(14)	2566540759985937197	0 2 72 74 204 206 222 224 234 236 240 242 372 374	-1480221037422
STPT(10)	2566540974855146447	0 2 30 32 72 74 114 116 144 146	-1265351828172
STPT(10)	2566541326926000341	0 2 30 32 78 80 126 128 156 158	-913280974278
STPT(12)	2566541996638491227	0 2 30 32 42 44 102 104 114 116 144 146	-243568483392
SPT(16)	2566542130504031389	0 40 48 54 78 84 120 138 184 202 238 244 268 274 282 322	-109702943230
SPT(16)	2566542211268193973	0 34 48 58 66 70 78 84 100 106 114 118 126 136 150 184	-28938780646
SPT(16)	2566542333320188241	0 2 6 30 50 72 116 146 156 186 230 252 272 296 300 302	93113213622
STPT(10)	2566542370656380507	0 2 30 32 42 44 54 56 84 86	130449405888
STPT(10)	2566542719522796587	0 2 24 26 42 44 60 62 84 86	479315821968
STPT(10)	2566542754896574211	0 2 6 8 18 20 30 32 36 38	514689599592
SPT(16)	2566542790079911561	0 22 28 36 42 58 72 112 156 196 210 226 232 240 246 268	549872936942