Prime p₀= 3235438998278070809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 28 2 52 2 46 2 196 2 (?)
a_n: 0 2 30 32 78 80 108 110 162 164 210 212 408 410
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: 410
Found by: Groo
db: batch=83, k=14, 28 46 28 52 46 196

STPT(10)	3235437625789967567	0 2 54 56 72 74 90 92 144 146	-1372488103242
SPT(16)	3235438013289710341	0 42 70 72 78 112 120 130 138 148 156 190 196 198 226 268	-984988360468
STPT(10)	3235438246287747551	0 2 6 8 18 20 30 32 36 38	-751990323258
STPT(10)	3235438264820849609	0 2 18 20 30 32 42 44 60 62	-733457221200
STPT(10)	3235438648246115321	0 2 6 8 48 50 90 92 96 98	-350031955488
SPT(16)	3235438749637450397	0 30 42 144 170 194 222 224 240 242 270 294 320 422 434 464	-248640620412
SPT(16)	3235439152068638297	0 14 32 66 74 144 146 170 186 210 212 282 290 324 342 356	153790567488
STPT(10)	3235439401838537627	0 2 24 26 42 44 60 62 84 86	403560466818
SPT(16)	3235439522435881433	0 14 56 66 98 140 158 164 180 186 204 246 278 288 330 344	524157810624
SPT(16)	3235439883900047513	0 18 20 30 54 84 114 128 186 200 230 260 284 294 296 314	885621976704
SPT(16)	3235440584372413189	0 12 34 42 82 112 174 220 264 310 372 402 442 450 472 484	1586094342380