Prime p₀= 1635807727869469067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 118 2 28 2 22 2 4 2 (?)
a_n: 0 2 60 62 90 92 210 212 240 242 264 266 270 272
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: 272
Found by: xii5ku
db: batch=78, k=14, 58 28 118 28 22 4

SPT(16)	1635806493235897903	0 6 18 48 60 70 76 88 126 138 144 154 166 196 208 214	-1234633571164
TPT(14)	1635806614177023521	0 2 30 32 36 38 78 80 156 158 270 272 336 338	-1113692445546
SPT(16)	1635807063829574561	0 32 116 132 150 170 186 198 200 212 228 248 266 282 366 398	-664039894506
TPT(14)	1635807336055615757	0 2 12 14 24 26 102 104 222 224 264 266 312 314	-391813853310
TPT(14)	1635807597126106289	0 2 12 14 42 44 72 74 198 200 222 224 240 242	-130743362778
SPT(16)	1635807722213976511	0 18 22 48 76 82 120 160 258 298 336 342 370 396 400 418	-5655492556
STPT(10)	1635807823035497999	0 2 18 20 30 32 42 44 60 62	95166028932
STPT(10)	1635808186685728379	0 2 42 44 60 62 78 80 120 122	458816259312
SPT(16)	1635808598827626439	0 12 52 54 60 88 132 168 184 220 264 292 298 300 340 352	870958157372
SPT(16)	1635808721146813877	0 24 26 30 54 56 96 102 164 170 210 212 236 240 242 266	993277344810
STPT(10)	1635808780102348679	0 2 42 44 60 62 78 80 120 122	1052232879612