Prime p₀= 2656240300310877461 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 16 2 28 2 52 2 64 2 (?)
a_n: 0 2 30 32 108 110 126 128 156 158 210 212 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 28 76 16 28 52 64

TPT(14)	2656238621981801537	0 2 42 44 72 74 90 92 102 104 114 116 204 206	-1678329075924
SPT(18)	2656239006965080601	0 18 60 80 86 176 186 212 242 246 276 302 312 402 408 428 470 488	-1293345796860
SPT(16)	2656239164736279539	0 8 14 32 54 60 84 102 110 128 152 158 180 198 204 212	-1135574597922
SPT(16)	2656239381260002399	0 42 54 72 78 102 154 168 184 198 250 274 280 298 310 352	-919050875062
STPT(10)	2656240196458962929	0 2 12 14 30 32 48 50 60 62	-103851914532
SPT(16)	2656240229833334051	0 50 102 140 188 218 222 300 320 398 402 432 480 518 570 620	-70477543410
SPT(16)	2656240499576892601	0 6 16 18 28 36 42 46 102 106 112 120 130 132 142 148	199266015140
STPT(10)	2656241167784347901	0 2 6 8 18 20 30 32 36 38	867473470440
STPT(10)	2656241477911324739	0 2 42 44 60 62 78 80 120 122	1177600447278
STPT(10)	2656241519393228651	0 2 66 68 108 110 150 152 216 218	1219082351190
SPT(16)	2656241559929239027	0 22 36 70 106 114 166 202 204 240 292 300 336 370 384 406	1259618361566