Prime p₀= 1147369729019766839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 88 2 10 2 136 2 148 2 70 2 (?)
a_n: 0 2 138 140 228 230 240 242 378 380 528 530 600 602
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: 602
Found by: Alnitak2019
db: batch=76, k=14, 136 88 10 136 148 70

STPT(10)	1147368865692934439	0 2 42 44 60 62 78 80 120 122	-863326832400
SPT(16)	1147369217361306083	0 8 18 50 56 78 86 140 216 270 278 300 306 338 348 356	-511658460756
STPT(10)	1147369247048071259	0 2 18 20 60 62 102 104 120 122	-481971695580
SPT(16)	1147369318321309367	0 6 20 26 36 44 56 110 246 300 312 320 330 336 350 356	-410698457472
SPT(16)	1147369359506920873	0 30 64 66 78 108 168 204 220 256 316 346 358 360 394 424	-369512845966
SPT(16)	1147369421810308573	0 10 24 66 84 100 174 184 186 196 270 286 304 346 360 370	-307209458266
SPT(16)	1147369758841811497	0 24 72 126 130 136 172 196 240 264 300 306 310 364 412 436	29822044658
STPT(10)	1147369931806174577	0 2 54 56 72 74 90 92 144 146	202786407738
SPT(16)	1147370231868438007	0 6 36 82 112 126 150 154 162 166 190 204 234 280 310 316	502848671168
SPT(16)	1147370315070744419	0 2 18 42 50 68 72 84 188 200 204 222 230 254 270 272	586050977580
SPT(16)	1147370361698688599	0 38 44 50 62 72 80 84 128 132 140 150 162 168 174 212	632678921760