Prime p₀= 2115160020409722857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 10 2 16 2 40 2 4 2 (?)
a_n: 0 2 42 44 102 104 114 116 132 134 174 176 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 40 58 10 16 40 4

STPT(10)	2115159326688653417	0 2 30 32 42 44 54 56 84 86	-693721069440
SPT(16)	2115159384491540579	0 2 78 80 110 114 140 162 170 192 218 222 252 254 330 332	-635918182278
STPT(10)	2115159654164627027	0 2 60 62 72 74 84 86 144 146	-366245095830
STPT(10)	2115159688310552699	0 2 12 14 30 32 48 50 60 62	-332099170158
STPT(12)	2115159805145727827	0 2 54 56 60 62 84 86 90 92 144 146	-215263995030
STPT(10)	2115159987242467349	0 2 18 20 30 32 42 44 60 62	-33167255508
STPT(10)	2115160046615086517	0 2 54 56 72 74 90 92 144 146	26205363660
SPT(16)	2115160145348215027	0 6 12 40 52 96 100 102 124 126 130 174 186 214 220 226	124938492170
SPT(16)	2115160735907879609	0 8 42 110 132 140 158 162 200 204 222 230 252 320 354 362	715498156752
SPT(16)	2115160829869322531	0 18 38 80 108 116 150 156 212 218 252 260 288 330 350 368	809459599674
SPT(16)	2115160965932854493	0 14 36 66 80 86 98 108 146 156 168 174 188 218 240 254	945523131636