Prime p₀= 844997732348202611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 58 2 40 2 64 2 10 2 40 2 (?)
a_n: 0 2 78 80 138 140 180 182 246 248 258 260 300 302
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: 302
Found by: marsinph
db: batch=73, k=14, 76 58 40 64 10 40

SPT(16)	844996595339454109	0 18 40 90 94 114 118 268 294 444 448 468 472 522 544 562	-1137008748502
STPT(10)	844996604584105397	0 2 54 56 72 74 90 92 144 146	-1127764097214
STPT(10)	844996930661531897	0 2 30 32 42 44 54 56 84 86	-801686670714
SPT(16)	844997043163655329	0 22 72 138 160 162 178 204 238 264 280 282 304 370 420 442	-689184547282
SPT(16)	844997054902332089	0 44 80 84 98 132 162 164 168 170 200 234 248 252 288 332	-677445870522
STPT(10)	844997307088143071	0 2 36 38 78 80 120 122 156 158	-425260059540
SPT(16)	844997783192768333	0 8 14 38 44 56 60 78 86 104 108 120 126 150 156 164	50844565722
TPT(14)	844998156731860421	0 2 6 8 36 38 66 68 96 98 108 110 138 140	424383657810
STPT(10)	844998161099459711	0 2 36 38 78 80 120 122 156 158	428751257100
SPT(16)	844998248691190289	0 38 42 54 78 80 132 150 152 170 222 224 248 260 264 302	516342987678
STPT(10)	844998439913869427	0 2 84 86 132 134 180 182 264 266	707565666816