Prime p₀= 1458594320730471677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 154 2 28 2 40 2 10 2 (?)
a_n: 0 2 30 32 54 56 210 212 240 242 282 284 294 296
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: Theadalus
db: batch=78, k=14, 28 22 154 28 40 10

SPT(16)	1458592780181226337	0 36 40 46 70 84 90 114 172 196 202 216 240 246 250 286	-1540549245340
SPT(16)	1458593544216903643	0 24 28 40 48 118 124 138 220 234 240 310 318 330 334 358	-776513568034
SPT(16)	1458593744337864793	0 18 28 96 130 154 240 250 294 304 390 414 448 516 526 544	-576392606884
TPT(16)	1458593777420057849	0 2 42 44 48 50 72 74 102 104 132 134 180 182 312 314	-543310413828
STPT(10)	1458593831867103959	0 2 18 20 30 32 42 44 60 62	-488863367718
STPT(10)	1458593994699284039	0 2 42 44 60 62 78 80 120 122	-326031187638
SPT(16)	1458594608940512539	0 28 58 70 90 100 108 118 150 160 168 178 198 210 240 268	288210040862
STPT(10)	1458594622177968131	0 2 36 38 108 110 180 182 216 218	301447496454
SPT(16)	1458594990843539657	0 12 20 42 54 66 92 162 194 264 290 302 314 336 344 356	670113067980
STPT(10)	1458595104290480909	0 2 18 20 30 32 42 44 60 62	783560009232
TPT(14)	1458595522126989677	0 2 72 74 252 254 300 302 312 314 354 356 384 386	1201396518000