Prime p₀= 2564446180468886447 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 70 2 76 2 88 2 10 2 (?)
a_n: 0 2 24 26 42 44 114 116 192 194 282 284 294 296
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: 296
Found by: [SG-FC] hl
db: batch=82, k=14, 22 16 70 76 88 10

TPT(14)	2564444640617463389	0 2 30 32 60 62 90 92 102 104 162 164 258 260	-1539851423058
STPT(10)	2564445324304232261	0 2 6 8 48 50 90 92 96 98	-856164654186
SPT(16)	2564445409537664959	0 4 18 22 34 124 132 174 208 250 258 348 360 364 378 382	-770931221488
TPT(14)	2564445549074385617	0 2 12 14 42 44 60 62 144 146 222 224 312 314	-631394500830
TPT(14)	2564445736737852041	0 2 18 20 48 50 96 98 180 182 240 242 270 272	-443731034406
SPT(16)	2564446158823852867	0 12 40 46 72 84 100 102 124 126 142 154 180 186 214 226	-21645033580
STPT(10)	2564446381839129551	0 2 30 32 78 80 126 128 156 158	201370243104
STPT(10)	2564446560234596027	0 2 12 14 72 74 132 134 144 146	379765709580
STPT(10)	2564446907030097977	0 2 30 32 42 44 54 56 84 86	726561211530
SPT(16)	2564447022458718053	0 54 56 68 90 98 114 140 144 170 186 194 216 228 230 284	841989831606
SPT(16)	2564447437321037269	0 82 112 114 150 162 192 222 322 352 382 394 430 432 462 544	1256852150822