Prime p₀= 2316516426121083479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 10 2 64 2 28 2 58 2 (?)
a_n: 0 2 12 14 60 62 72 74 138 140 168 170 228 230
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: 230
Found by: Dirk Broer
db: batch=81, k=14, 10 46 10 64 28 58

STPT(10)	2316515413385008247	0 2 24 26 42 44 60 62 84 86	-1012736075232
STPT(10)	2316515482560804401	0 2 30 32 60 62 90 92 120 122	-943560279078
SPT(16)	2316515498980615363	0 6 18 40 48 90 100 118 138 156 166 208 216 238 250 256	-927140468116
STPT(10)	2316515551975444871	0 2 6 8 18 20 30 32 36 38	-874145638608
SPT(16)	2316515865893625871	0 16 46 48 60 90 132 142 156 166 208 238 250 252 282 298	-560227457608
SPT(16)	2316515998992126241	0 16 30 36 78 100 156 168 178 190 246 268 310 316 330 346	-427128957238
STPT(10)	2316516862861027829	0 2 30 32 60 62 90 92 120 122	436739944350
STPT(12)	2316517451498163917	0 2 12 14 24 26 210 212 222 224 234 236	1025377080438
STPT(10)	2316517606502713037	0 2 30 32 72 74 114 116 144 146	1180381629558
SPT(16)	2316517819086121061	0 78 120 126 138 140 162 206 222 266 288 290 302 308 350 428	1392965037582
SPT(16)	2316517890833021347	0 10 36 42 52 64 70 94 132 156 162 174 184 190 216 226	1464711937868