Prime p₀= 813751371418501259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 4 2 40 2 40 2 64 2 (?)
a_n: 0 2 42 44 72 74 78 80 120 122 162 164 228 230
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: Theadalus
db: batch=73, k=14, 40 28 4 40 40 64

STPT(10)	813750863331720869	0 2 42 44 60 62 78 80 120 122	-508086780390
SPT(16)	813750905811722213	0 14 26 80 86 96 104 126 128 150 158 168 174 228 240 254	-465606779046
SPT(16)	813751042832490013	0 10 70 88 94 108 124 160 228 264 280 294 300 318 378 388	-328586011246
STPT(10)	813751056397220477	0 2 30 32 42 44 54 56 84 86	-315021280782
SPT(16)	813751066206839161	0 58 60 90 112 142 148 150 238 240 246 276 298 328 330 388	-305211662098
SPT(16)	813751300246657457	0 54 60 72 86 122 144 146 150 152 174 210 224 236 242 296	-71171843802
STPT(10)	813751509717213437	0 2 30 32 42 44 54 56 84 86	138298712178
TPT(14)	813751645523236877	0 2 72 74 84 86 144 146 162 164 252 254 270 272	274104735618
SPT(16)	813752376243930769	0 22 24 28 64 78 94 100 252 258 274 288 324 328 330 352	1004825429510
TPT(14)	813752426331320849	0 2 18 20 72 74 102 104 228 230 258 260 270 272	1054912819590
SPT(16)	813752429607228169	0 18 22 34 48 84 90 144 178 232 238 274 288 300 304 322	1058188726910