Prime p₀= 2598559198373660411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 58 2 10 2 16 2 22 2 (?)
a_n: 0 2 30 32 66 68 126 128 138 140 156 158 180 182
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: 182
Found by: biodoc
db: batch=82, k=14, 28 34 58 10 16 22

TPT(14)	2598557039868842081	0 2 30 32 96 98 240 242 276 278 336 338 360 362	-2158504818330
STPT(10)	2598557345921364731	0 2 36 38 78 80 120 122 156 158	-1852452295680
TPT(14)	2598557754789263297	0 2 30 32 60 62 90 92 114 116 162 164 174 176	-1443584397114
TPT(14)	2598557915156882891	0 2 36 38 168 170 240 242 246 248 378 380 408 410	-1283216777520
STPT(10)	2598558365078482019	0 2 12 14 90 92 168 170 180 182	-833295178392
SPT(16)	2598558757145621507	0 56 102 132 146 164 222 294 332 404 462 480 494 524 570 626	-441228038904
STPT(10)	2598560096408264531	0 2 6 8 48 50 90 92 96 98	898034604120
SPT(16)	2598560553316922839	0 40 94 102 108 112 124 138 184 198 210 214 220 228 282 322	1354943262428
STPT(10)	2598560642735363429	0 2 12 14 30 32 48 50 60 62	1444361703018
STPT(10)	2598560843724848489	0 2 48 50 90 92 132 134 180 182	1645351188078
SPT(16)	2598560855977818139	0 18 22 24 72 162 172 178 204 210 220 310 358 360 364 382	1657604157728