Prime p₀= 2743942183958490791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 58 2 10 2 28 2 34 2 28 2 (?)
a_n: 0 2 108 110 168 170 180 182 210 212 246 248 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 106 58 10 28 34 28

SPT(16)	2743941299056847177	0 30 32 72 116 150 156 162 164 170 176 210 254 294 296 326	-884901643614
STPT(10)	2743941352203481679	0 2 18 20 30 32 42 44 60 62	-831755009112
STPT(10)	2743941490745298329	0 2 12 14 90 92 168 170 180 182	-693213192462
SPT(16)	2743941491365562359	0 22 28 60 70 100 112 124 288 300 312 342 352 384 390 412	-692592928432
STPT(10)	2743941731378967797	0 2 60 62 72 74 84 86 144 146	-452579522994
STPT(10)	2743942166871395387	0 2 60 62 72 74 84 86 144 146	-17087095404
SPT(16)	2743942525497788761	0 12 70 102 132 172 216 240 268 292 336 376 406 438 496 508	341539297970
STPT(10)	2743942723891313687	0 2 30 32 42 44 54 56 84 86	539932822896
STPT(10)	2743942768267195919	0 2 48 50 90 92 132 134 180 182	584308705128
SPT(16)	2743943319040094609	0 44 72 78 104 114 132 140 162 170 188 198 224 230 258 302	1135081603818
STPT(10)	2743943423808502931	0 2 36 38 78 80 120 122 156 158	1239850012140