Prime p₀= 2248540997209196057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 88 2 34 2 28 2 22 2 (?)
a_n: 0 2 12 14 84 86 174 176 210 212 240 242 264 266
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: 266
Found by: JayPi
db: batch=81, k=14, 10 70 88 34 28 22

STPT(10)	2248539916863015071	0 2 6 8 18 20 30 32 36 38	-1080346180986
SPT(16)	2248540382807185231	0 18 42 52 76 90 178 196 252 270 358 372 396 406 430 448	-614402010826
STPT(10)	2248540458748107521	0 2 6 8 48 50 90 92 96 98	-538461088536
SPT(16)	2248540505036052727	0 10 40 42 52 66 100 106 156 162 196 210 220 222 252 262	-492173143330
TPT(14)	2248540515113053361	0 2 30 32 48 50 180 182 186 188 228 230 390 392	-482096142696
STPT(10)	2248540912249968977	0 2 54 56 132 134 210 212 264 266	-84959227080
SPT(16)	2248541041621220701	0 42 82 88 90 130 150 168 220 238 258 298 300 306 346 388	44412024644
SPT(16)	2248541227640506861	0 30 126 138 160 186 196 238 240 282 292 318 340 352 448 478	230431310804
STPT(12)	2248541414422270139	0 2 12 14 42 44 210 212 240 242 252 254	417213074082
STPT(10)	2248541500732127681	0 2 66 68 108 110 150 152 216 218	503522931624
SPT(18)	2248541665850999341	0 28 36 70 78 96 106 120 130 138 148 162 172 190 198 232 240 268	668641803284