Prime p₀= 1557194936329659707 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 118 2 16 2 28 2 40 2 166 2 (?)
a_n: 0 2 54 56 174 176 192 194 222 224 264 266 432 434
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: 434
Found by: xii5ku
db: batch=78, k=14, 52 118 16 28 40 166

TPT(14)	1557193533471025979	0 2 12 14 48 50 60 62 180 182 240 242 282 284	-1402858633728
STPT(10)	1557194029412858621	0 2 36 38 78 80 120 122 156 158	-906916801086
STPT(10)	1557194334216302099	0 2 42 44 90 92 138 140 180 182	-602113357608
STPT(10)	1557194550043285259	0 2 30 32 120 122 210 212 240 242	-386286374448
TPT(14)	1557194639253461699	0 2 138 140 150 152 162 164 318 320 360 362 408 410	-297076198008
STPT(10)	1557194756818057727	0 2 30 32 42 44 54 56 84 86	-179511601980
SPT(16)	1557194972024044799	0 18 42 54 68 78 80 98 144 162 164 174 188 200 224 242	35694385092
SPT(16)	1557195108862043743	0 28 54 78 108 136 138 154 180 196 198 226 256 280 306 334	172532384036
STPT(10)	1557195218105547929	0 2 18 20 30 32 42 44 60 62	281775888222
STPT(10)	1557195430822433027	0 2 42 44 132 134 222 224 264 266	494492773320
SPT(16)	1557195836694091591	0 6 12 30 40 82 88 90 208 210 216 258 268 286 292 298	900364431884