Prime p₀= 779637720407443277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 28 2 10 2 10 2 16 2 (?)
a_n: 0 2 72 74 90 92 120 122 132 134 144 146 162 164
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: 164
Found by: arkiss
db: batch=73, k=14, 70 16 28 10 10 16

SPT(16)	779636920635478837	0 42 46 54 60 84 106 112 114 120 142 166 172 180 184 226	-799771964440
SPT(16)	779637084066215537	0 12 24 42 54 86 192 206 210 224 330 362 374 392 404 416	-636341227740
STPT(10)	779637381770416859	0 2 18 20 30 32 42 44 60 62	-338637026418
SPT(16)	779637519708565031	0 12 38 56 66 92 96 182 216 302 306 332 342 360 386 398	-200698878246
TPT(14)	779637577729143017	0 2 24 26 54 56 132 134 222 224 252 254 294 296	-142678300260
STPT(10)	779637702532264361	0 2 36 38 78 80 120 122 156 158	-17875178916
SPT(18)	779638003725720731	0 20 48 78 120 128 132 170 182 246 258 296 300 308 350 380 408 428	283318277454
STPT(10)	779638449964895837	0 2 30 32 42 44 54 56 84 86	729557452560
TPT(14)	779638897884641381	0 2 108 110 156 158 186 188 228 230 240 242 318 320	1177477198104
SPT(16)	779638928988797953	0 4 6 34 66 78 108 174 190 256 286 298 330 358 360 364	1208581354676
SPT(16)	779639009495818141	0 28 66 70 90 112 148 150 178 180 216 238 258 262 300 328	1289088374864