Prime p₀= 1126383532856379401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 208 2 106 2 52 2 76 2 (?)
a_n: 0 2 36 38 48 50 258 260 366 368 420 422 498 500
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: 500
Found by: crashtech
db: batch=76, k=14, 34 10 208 106 52 76

SPT(16)	1126382386469298631	0 28 106 126 136 138 148 150 166 168 178 180 190 210 288 316	-1146387080770
SPT(16)	1126382526835477927	0 4 22 36 54 60 114 162 214 262 316 322 340 354 372 376	-1006020901474
STPT(10)	1126382558012989271	0 2 36 38 78 80 120 122 156 158	-974843390130
STPT(10)	1126382797189852721	0 2 36 38 78 80 120 122 156 158	-735666526680
STPT(10)	1126383074691101327	0 2 90 92 102 104 114 116 204 206	-458165278074
SPT(16)	1126383530263980347	0 30 32 56 60 66 90 116 216 242 266 272 276 300 302 332	-2592399054
SPT(16)	1126383583326574171	0 46 58 60 70 78 88 96 172 180 190 198 208 210 222 268	50470194770
SPT(16)	1126383828123956111	0 6 20 30 50 66 72 120 218 266 272 288 308 318 332 338	295267576710
SPT(16)	1126383870394336069	0 42 52 54 70 84 112 208 234 330 358 372 388 390 400 442	337537956668
STPT(10)	1126384317816240347	0 2 42 44 72 74 102 104 144 146	784959860946
SPT(16)	1126384411646797591	0 10 36 46 58 70 82 96 112 126 138 150 162 172 198 208	878790418190