Prime p₀= 1459842166881079337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 76 2 106 2 10 2 28 2 (?)
a_n: 0 2 12 14 24 26 102 104 210 212 222 224 252 254
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: 254
Found by: Spectrum
db: batch=78, k=14, 10 10 76 106 10 28

SPT(16)	1459841433730870703	0 6 44 50 56 128 134 146 198 210 216 288 294 300 338 344	-733150208634
STPT(10)	1459841572833168821	0 2 6 8 18 20 30 32 36 38	-594047910516
STPT(10)	1459841690529771551	0 2 30 32 60 62 90 92 120 122	-476351307786
STPT(10)	1459841763305095979	0 2 48 50 90 92 132 134 180 182	-403575983358
TPT(14)	1459841873800668569	0 2 30 32 78 80 180 182 402 404 408 410 420 422	-293080410768
STPT(10)	1459842030091481591	0 2 36 38 78 80 120 122 156 158	-136789597746
SPT(16)	1459842359288188999	0 18 28 54 102 148 154 172 180 198 204 250 298 324 334 352	192407109662
SPT(16)	1459842530407691389	0 12 42 60 94 102 114 144 190 220 232 240 274 292 322 334	363526612052
SPT(16)	1459842814660863749	0 8 12 18 44 54 78 114 158 194 218 228 254 260 264 272	647779784412
STPT(10)	1459843439047348037	0 2 42 44 72 74 102 104 144 146	1272166268700
TPT(14)	1459843536310035377	0 2 12 14 42 44 114 116 222 224 270 272 294 296	1369428956040