Prime p₀= 2722461566264012897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 58 2 10 2 40 2 34 2 (?)
a_n: 0 2 30 32 60 62 120 122 132 134 174 176 210 212
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: 212
Found by: conf [MM]
db: batch=82, k=14, 28 28 58 10 40 34

SPT(16)	2722460118599531909	0 18 32 102 132 140 144 162 200 218 222 230 260 330 344 362	-1447664480988
STPT(10)	2722460174741549507	0 2 42 44 72 74 102 104 144 146	-1391522463390
SPT(16)	2722460598912680359	0 82 88 154 172 192 220 250 282 312 340 360 378 444 450 532	-967351332538
SPT(16)	2722460834256858269	0 68 80 98 128 150 152 224 318 390 392 414 444 462 474 542	-732007154628
TPT(14)	2722461014701067501	0 2 36 38 78 80 156 158 198 200 210 212 246 248	-551562945396
SPT(16)	2722461357158448691	0 16 30 52 102 108 112 142 156 186 190 196 246 268 282 298	-209105564206
STPT(10)	2722461569325277691	0 2 6 8 18 20 30 32 36 38	3061264794
SPT(16)	2722461581537853667	0 40 42 46 66 100 120 156 220 256 276 310 330 334 336 376	15273840770
STPT(10)	2722461658606495151	0 2 66 68 108 110 150 152 216 218	92342482254
STPT(10)	2722461836957698679	0 2 18 20 30 32 42 44 60 62	270693685782
STPT(10)	2722461887587960409	0 2 78 80 150 152 222 224 300 302	321323947512