Prime p₀= 4560043616455612667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 46 2 130 2 28 2 16 2 (?)
a_n: 0 2 30 32 42 44 90 92 222 224 252 254 270 272
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: mmonnin
db: batch=85, k=14, 28 10 46 130 28 16

SPT(16)	4560041183442684587	0 20 26 72 146 180 182 224 252 294 296 330 404 450 456 476	-2433012928080
TPT(14)	4560042437339783417	0 2 114 116 132 134 174 176 204 206 210 212 270 272	-1179115829250
SPT(16)	4560042530073250501	0 12 28 42 46 52 72 78 130 136 156 162 166 180 196 208	-1086382362166
STPT(10)	4560042740005073327	0 2 30 32 42 44 54 56 84 86	-876450539340
TPT(14)	4560042848993337401	0 2 36 38 48 50 126 128 276 278 306 308 378 380	-767462275266
SPT(16)	4560043538565857123	0 26 80 84 110 138 150 174 200 224 236 264 290 294 348 374	-77889755544
STPT(10)	4560044178528797027	0 2 24 26 42 44 60 62 84 86	562073184360
SPT(16)	4560044880832279603	0 18 34 36 78 108 118 150 154 186 196 226 268 270 286 304	1264376666936
STPT(10)	4560044917334767829	0 2 42 44 150 152 258 260 300 302	1300879155162
SPT(16)	4560045118256518687	0 16 24 30 46 60 66 76 234 244 250 264 280 286 294 310	1501800906020
SPT(16)	4560045125720926267	0 4 46 60 96 130 160 166 174 180 210 244 280 294 336 340	1509265313600