Prime p₀= 1369414719166364201 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 106 2 40 2 4 2 (?)
a_n: 0 2 36 38 48 50 90 92 198 200 240 242 246 248
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: 248
Found by: Theadalus
db: batch=77, k=14, 34 10 40 106 40 4

SPT(16)	1369413021905800913	0 90 108 114 116 140 150 228 236 314 324 348 350 356 374 464	-1697260563288
STPT(10)	1369413884770777577	0 2 30 32 42 44 54 56 84 86	-834395586624
SPT(16)	1369413976820439023	0 14 36 38 66 80 126 134 180 188 234 248 276 278 300 314	-742345925178
SPT(16)	1369414155210252953	0 18 26 54 90 114 116 128 156 168 170 194 230 258 266 284	-563956111248
TPT(14)	1369414280637045899	0 2 18 20 90 92 102 104 198 200 258 260 312 314	-438529318302
SPT(16)	1369414655365428293	0 18 44 68 86 110 116 140 144 168 174 198 216 240 266 284	-63800935908
STPT(10)	1369414745259156119	0 2 18 20 30 32 42 44 60 62	26092791918
SPT(16)	1369414820511449953	0 10 16 48 64 90 106 150 244 288 304 330 346 378 384 394	101345085752
STPT(10)	1369414951486567397	0 2 24 26 42 44 60 62 84 86	232320203196
SPT(16)	1369415171600603947	0 4 30 46 102 106 154 210 256 312 360 364 420 436 462 466	452434239746
STPT(10)	1369415220929122091	0 2 6 8 48 50 90 92 96 98	501762757890